x / x_bar

Den

sity

−4 −2 0 2 4

0.0

0.5

1.0

1.5

2.0

●

sd/sqrt(n) = 0.22

standard deviation ofsample means = NA

# of means drawn = 1

Sample size (n) = 20

● ●● ●● ●● ●●●●● ● ●● ●●●● ●

● Sample pointsPopulation DistributionSample meanTheoretical SEEmpirical SE

x / x_bar

Den

sity

−4 −2 0 2 4

0.0

0.5

1.0

1.5

2.0

●

sd/sqrt(n) = 0.22

standard deviation ofsample means = 0.07

# of means drawn = 2

Sample size (n) = 20

● ●●● ●●● ●● ● ●● ● ●● ● ●● ●●

● Sample pointsPopulation DistributionSample meanTheoretical SEEmpirical SE

x / x_bar

Den

sity

−4 −2 0 2 4

0.0

0.5

1.0

1.5

2.0

●

sd/sqrt(n) = 0.22

standard deviation ofsample means = 0.12

# of means drawn = 3

Sample size (n) = 20

● ●● ●● ●●● ●●● ●●● ●● ●● ●●

● Sample pointsPopulation DistributionSample meanTheoretical SEEmpirical SE

x / x_bar

Den

sity

−4 −2 0 2 4

0.0

0.5

1.0

1.5

2.0

●

sd/sqrt(n) = 0.22

standard deviation ofsample means = 0.12

# of means drawn = 4

Sample size (n) = 20

●●● ●● ●● ●● ● ● ●●● ● ●●● ●●

● Sample pointsPopulation DistributionSample meanTheoretical SEEmpirical SE

x / x_bar

Den

sity

−4 −2 0 2 4

0.0

0.5

1.0

1.5

2.0

●

sd/sqrt(n) = 0.22

standard deviation ofsample means = 0.11

# of means drawn = 5

Sample size (n) = 20

●●● ●● ●●●●● ● ●● ●● ●● ●● ●

● Sample pointsPopulation DistributionSample meanTheoretical SEEmpirical SE

x / x_bar

Den

sity

−4 −2 0 2 4

0.0

0.5

1.0

1.5

2.0

●

sd/sqrt(n) = 0.22

standard deviation ofsample means = 0.13

# of means drawn = 6

Sample size (n) = 20

●●●● ●● ●●●● ● ●●● ● ● ●●● ●

● Sample pointsPopulation DistributionSample meanTheoretical SEEmpirical SE

x / x_bar

Den

sity

−4 −2 0 2 4

0.0

0.5

1.0

1.5

2.0

●

sd/sqrt(n) = 0.22

standard deviation ofsample means = 0.12

# of means drawn = 7

Sample size (n) = 20

● ●● ●● ●●●● ●● ●●● ●● ● ●● ●

● Sample pointsPopulation DistributionSample meanTheoretical SEEmpirical SE

x / x_bar

Den

sity

−4 −2 0 2 4

0.0

0.5

1.0

1.5

2.0

●

sd/sqrt(n) = 0.22

standard deviation ofsample means = 0.11

# of means drawn = 8

Sample size (n) = 20

● ●● ●● ●●● ● ● ●● ●●● ●● ●●●

● Sample pointsPopulation DistributionSample meanTheoretical SEEmpirical SE

x / x_bar

Den

sity

−4 −2 0 2 4

0.0

0.5

1.0

1.5

2.0

●

sd/sqrt(n) = 0.22

standard deviation ofsample means = 0.11

# of means drawn = 9

Sample size (n) = 20

●●● ● ●●● ●●● ●●● ● ● ● ●● ●●

● Sample pointsPopulation DistributionSample meanTheoretical SEEmpirical SE

x / x_bar

Den

sity

−4 −2 0 2 4

0.0

0.5

1.0

1.5

2.0

●

sd/sqrt(n) = 0.22

standard deviation ofsample means = 0.12

# of means drawn = 10

Sample size (n) = 20

● ● ●● ●● ●●● ●● ●● ●●● ●● ●●

● Sample pointsPopulation DistributionSample meanTheoretical SEEmpirical SE

x / x_bar

Den

sity

−4 −2 0 2 4

0.0

0.5

1.0

1.5

2.0

●

sd/sqrt(n) = 0.22

standard deviation ofsample means = 0.12

# of means drawn = 11

Sample size (n) = 20

● ●● ●●●● ●●●● ● ●●● ● ●●● ●

● Sample pointsPopulation DistributionSample meanTheoretical SEEmpirical SE

x / x_bar

Den

sity

−4 −2 0 2 4

0.0

0.5

1.0

1.5

2.0

●

sd/sqrt(n) = 0.22

standard deviation ofsample means = 0.11

# of means drawn = 12

Sample size (n) = 20

●●● ●● ●● ●●● ● ●● ●●● ●●● ●

● Sample pointsPopulation DistributionSample meanTheoretical SEEmpirical SE

x / x_bar

Den

sity

−4 −2 0 2 4

0.0

0.5

1.0

1.5

2.0

●

sd/sqrt(n) = 0.22

standard deviation ofsample means = 0.11

# of means drawn = 13

Sample size (n) = 20

●● ●●● ●● ●● ●●●● ●●● ●● ●●

● Sample pointsPopulation DistributionSample meanTheoretical SEEmpirical SE

x / x_bar

Den

sity

−4 −2 0 2 4

0.0

0.5

1.0

1.5

2.0

●

sd/sqrt(n) = 0.22

standard deviation ofsample means = 0.11

# of means drawn = 14

Sample size (n) = 20

●● ● ●● ●● ●● ●● ●●● ●● ●●● ●

● Sample pointsPopulation DistributionSample meanTheoretical SEEmpirical SE

x / x_bar

Den

sity

−4 −2 0 2 4

0.0

0.5

1.0

1.5

2.0

●

sd/sqrt(n) = 0.22

standard deviation ofsample means = 0.14

# of means drawn = 15

Sample size (n) = 20

●● ●● ●● ● ●●● ●● ●●● ●● ●● ●

● Sample pointsPopulation DistributionSample meanTheoretical SEEmpirical SE

x / x_bar

Den

sity

−4 −2 0 2 4

0.0

0.5

1.0

1.5

2.0

●

sd/sqrt(n) = 0.22

standard deviation ofsample means = 0.16

# of means drawn = 16

Sample size (n) = 20

●●●●● ● ● ●●●●● ●● ●● ●●● ●

● Sample pointsPopulation DistributionSample meanTheoretical SEEmpirical SE

x / x_bar

Den

sity

−4 −2 0 2 4

0.0

0.5

1.0

1.5

2.0

●

sd/sqrt(n) = 0.22

standard deviation ofsample means = 0.16

# of means drawn = 17

Sample size (n) = 20

● ●●● ●● ●● ●●● ●● ● ●●●●●●

● Sample pointsPopulation DistributionSample meanTheoretical SEEmpirical SE

x / x_bar

Den

sity

−4 −2 0 2 4

0.0

0.5

1.0

1.5

2.0

●

sd/sqrt(n) = 0.22

standard deviation ofsample means = 0.16

# of means drawn = 18

Sample size (n) = 20

●● ● ● ●● ●● ●● ● ●● ●● ● ●● ●●

● Sample pointsPopulation DistributionSample meanTheoretical SEEmpirical SE

x / x_bar

Den

sity

−4 −2 0 2 4

0.0

0.5

1.0

1.5

2.0

●

sd/sqrt(n) = 0.22

standard deviation ofsample means = 0.2

# of means drawn = 19

Sample size (n) = 20

●● ●●● ●●● ●● ● ● ●● ●● ●●● ●

● Sample pointsPopulation DistributionSample meanTheoretical SEEmpirical SE

x / x_bar

Den

sity

−4 −2 0 2 4

0.0

0.5

1.0

1.5

2.0

●

sd/sqrt(n) = 0.22

standard deviation ofsample means = 0.19

# of means drawn = 20

Sample size (n) = 20

● ● ●●● ● ● ●●●●● ●● ●●● ●● ●

● Sample pointsPopulation DistributionSample meanTheoretical SEEmpirical SE

x / x_bar

Den

sity

−4 −2 0 2 4

0.0

0.5

1.0

1.5

2.0

●

sd/sqrt(n) = 0.22

standard deviation ofsample means = 0.19

# of means drawn = 21

Sample size (n) = 20

● ●● ● ●● ● ●●● ● ●● ●● ●●●● ●

● Sample pointsPopulation DistributionSample meanTheoretical SEEmpirical SE

x / x_bar

Den

sity

−4 −2 0 2 4

0.0

0.5

1.0

1.5

2.0

●

sd/sqrt(n) = 0.22

standard deviation ofsample means = 0.18

# of means drawn = 22

Sample size (n) = 20

●● ●● ●● ● ●● ●● ● ●● ●●● ●● ●

● Sample pointsPopulation DistributionSample meanTheoretical SEEmpirical SE

x / x_bar

Den

sity

−4 −2 0 2 4

0.0

0.5

1.0

1.5

2.0

●

sd/sqrt(n) = 0.22

standard deviation ofsample means = 0.18

# of means drawn = 23

Sample size (n) = 20

● ● ●●● ● ● ●●●●● ● ●●●●●●●

● Sample pointsPopulation DistributionSample meanTheoretical SEEmpirical SE

x / x_bar

Den

sity

−4 −2 0 2 4

0.0

0.5

1.0

1.5

2.0

●

sd/sqrt(n) = 0.22

standard deviation ofsample means = 0.18

# of means drawn = 24

Sample size (n) = 20

● ●●●● ● ● ●●● ● ●●● ●● ●●● ●

● Sample pointsPopulation DistributionSample meanTheoretical SEEmpirical SE

x / x_bar

Den

sity

−4 −2 0 2 4

0.0

0.5

1.0

1.5

2.0

●

sd/sqrt(n) = 0.22

standard deviation ofsample means = 0.17

# of means drawn = 25

Sample size (n) = 20

●● ●●● ●● ● ●● ●●●● ● ● ●●●●

● Sample pointsPopulation DistributionSample meanTheoretical SEEmpirical SE

x / x_bar

Den

sity

−4 −2 0 2 4

0.0

0.5

1.0

1.5

2.0

●

sd/sqrt(n) = 0.22

standard deviation ofsample means = 0.18

# of means drawn = 26

Sample size (n) = 20

●● ●● ●●●● ●●●● ● ● ●● ●● ●●

● Sample pointsPopulation DistributionSample meanTheoretical SEEmpirical SE

x / x_bar

Den

sity

−4 −2 0 2 4

0.0

0.5

1.0

1.5

2.0

●

sd/sqrt(n) = 0.22

standard deviation ofsample means = 0.17

# of means drawn = 27

Sample size (n) = 20

●●● ●●● ●●● ● ●●● ●●● ● ●●●

● Sample pointsPopulation DistributionSample meanTheoretical SEEmpirical SE

x / x_bar

Den

sity

−4 −2 0 2 4

0.0

0.5

1.0

1.5

2.0

●

sd/sqrt(n) = 0.22

standard deviation ofsample means = 0.19

# of means drawn = 28

Sample size (n) = 20

● ● ●●● ●●● ●● ●● ●● ●●● ●●●

● Sample pointsPopulation DistributionSample meanTheoretical SEEmpirical SE

x / x_bar

Den

sity

−4 −2 0 2 4

0.0

0.5

1.0

1.5

2.0

●

sd/sqrt(n) = 0.22

standard deviation ofsample means = 0.19

# of means drawn = 29

Sample size (n) = 20

● ●● ●●● ●●● ● ●● ● ●●●● ●● ●

● Sample pointsPopulation DistributionSample meanTheoretical SEEmpirical SE

x / x_bar

Den

sity

−4 −2 0 2 4

0.0

0.5

1.0

1.5

2.0

●

sd/sqrt(n) = 0.22

standard deviation ofsample means = 0.19

# of means drawn = 30

Sample size (n) = 20

●● ●● ●● ●●● ●●● ● ●●●●● ●●

● Sample pointsPopulation DistributionSample meanTheoretical SEEmpirical SE

x / x_bar

Den

sity

−4 −2 0 2 4

0.0

0.5

1.0

1.5

2.0

●

sd/sqrt(n) = 0.22

standard deviation ofsample means = 0.19

# of means drawn = 31

Sample size (n) = 20

●●● ●● ● ●● ● ●● ●● ●● ● ● ●●●

● Sample pointsPopulation DistributionSample meanTheoretical SEEmpirical SE

x / x_bar

Den

sity

−4 −2 0 2 4

0.0

0.5

1.0

1.5

2.0

●

sd/sqrt(n) = 0.22

standard deviation ofsample means = 0.19

# of means drawn = 32

Sample size (n) = 20

● ●● ●● ●● ●●● ●●● ●● ●● ●●●

● Sample pointsPopulation DistributionSample meanTheoretical SEEmpirical SE

x / x_bar

Den

sity

−4 −2 0 2 4

0.0

0.5

1.0

1.5

2.0

●

sd/sqrt(n) = 0.22

standard deviation ofsample means = 0.18

# of means drawn = 33

Sample size (n) = 20

● ● ●● ●● ●● ●●●●●● ●● ●●● ●

● Sample pointsPopulation DistributionSample meanTheoretical SEEmpirical SE

x / x_bar

Den

sity

−4 −2 0 2 4

0.0

0.5

1.0

1.5

2.0

●

sd/sqrt(n) = 0.22

standard deviation ofsample means = 0.18

# of means drawn = 34

Sample size (n) = 20

●● ●●●●● ● ●●● ●● ● ● ● ●● ●●

● Sample pointsPopulation DistributionSample meanTheoretical SEEmpirical SE

x / x_bar

Den

sity

−4 −2 0 2 4

0.0

0.5

1.0

1.5

2.0

●

sd/sqrt(n) = 0.22

standard deviation ofsample means = 0.18

# of means drawn = 35

Sample size (n) = 20

● ● ●●● ● ● ●●●● ● ●●●● ● ●●●

● Sample pointsPopulation DistributionSample meanTheoretical SEEmpirical SE

x / x_bar

Den

sity

−4 −2 0 2 4

0.0

0.5

1.0

1.5

2.0

●

sd/sqrt(n) = 0.22

standard deviation ofsample means = 0.18

# of means drawn = 36

Sample size (n) = 20

● ●● ●● ●● ●●● ●● ● ●●● ●● ●●

● Sample pointsPopulation DistributionSample meanTheoretical SEEmpirical SE

x / x_bar

Den

sity

−4 −2 0 2 4

0.0

0.5

1.0

1.5

2.0

●

sd/sqrt(n) = 0.22

standard deviation ofsample means = 0.18

# of means drawn = 37

Sample size (n) = 20

●● ●●● ●● ●● ● ●● ● ●● ●● ●● ●

● Sample pointsPopulation DistributionSample meanTheoretical SEEmpirical SE

x / x_bar

Den

sity

−4 −2 0 2 4

0.0

0.5

1.0

1.5

2.0

●

sd/sqrt(n) = 0.22

standard deviation ofsample means = 0.18

# of means drawn = 38

Sample size (n) = 20

●●● ● ● ●●●● ●●● ●● ● ●● ●●●

● Sample pointsPopulation DistributionSample meanTheoretical SEEmpirical SE

x / x_bar

Den

sity

−4 −2 0 2 4

0.0

0.5

1.0

1.5

2.0

●

sd/sqrt(n) = 0.22

standard deviation ofsample means = 0.18

# of means drawn = 39

Sample size (n) = 20

● ●●●●● ●●● ●●● ●●● ● ●●● ●

● Sample pointsPopulation DistributionSample meanTheoretical SEEmpirical SE

x / x_bar

Den

sity

−4 −2 0 2 4

0.0

0.5

1.0

1.5

2.0

●

sd/sqrt(n) = 0.22

standard deviation ofsample means = 0.18

# of means drawn = 40

Sample size (n) = 20

● ●● ● ● ●●● ●●●● ●● ●● ●● ●●

● Sample pointsPopulation DistributionSample meanTheoretical SEEmpirical SE

x / x_bar

Den

sity

−4 −2 0 2 4

0.0

0.5

1.0

1.5

2.0

●

sd/sqrt(n) = 0.22

standard deviation ofsample means = 0.2

# of means drawn = 41

Sample size (n) = 20

●● ● ● ●● ●● ●● ●● ● ●●●●● ●●

● Sample pointsPopulation DistributionSample meanTheoretical SEEmpirical SE

x / x_bar

Den

sity

−4 −2 0 2 4

0.0

0.5

1.0

1.5

2.0

●

sd/sqrt(n) = 0.22

standard deviation ofsample means = 0.2

# of means drawn = 42

Sample size (n) = 20

●● ● ● ●●●● ● ● ●● ●●●● ●● ●●

● Sample pointsPopulation DistributionSample meanTheoretical SEEmpirical SE

x / x_bar

Den

sity

−4 −2 0 2 4

0.0

0.5

1.0

1.5

2.0

●

sd/sqrt(n) = 0.22

standard deviation ofsample means = 0.2

# of means drawn = 43

Sample size (n) = 20

●● ● ●● ●● ●● ● ●●● ●● ●● ●● ●

● Sample pointsPopulation DistributionSample meanTheoretical SEEmpirical SE

x / x_bar

Den

sity

−4 −2 0 2 4

0.0

0.5

1.0

1.5

2.0

●

sd/sqrt(n) = 0.22

standard deviation ofsample means = 0.2

# of means drawn = 44

Sample size (n) = 20

● ●● ●● ●●● ● ●●●● ●● ●● ●● ●

● Sample pointsPopulation DistributionSample meanTheoretical SEEmpirical SE

x / x_bar

Den

sity

−4 −2 0 2 4

0.0

0.5

1.0

1.5

2.0

●

sd/sqrt(n) = 0.22

standard deviation ofsample means = 0.2

# of means drawn = 45

Sample size (n) = 20

●●●● ●●● ●●●● ●●● ●● ●● ●●

● Sample pointsPopulation DistributionSample meanTheoretical SEEmpirical SE

x / x_bar

Den

sity

−4 −2 0 2 4

0.0

0.5

1.0

1.5

2.0

●

sd/sqrt(n) = 0.22

standard deviation ofsample means = 0.2

# of means drawn = 46

Sample size (n) = 20

● ● ●●●● ●●●●●● ●● ●●● ●● ●

● Sample pointsPopulation DistributionSample meanTheoretical SEEmpirical SE

x / x_bar

Den

sity

−4 −2 0 2 4

0.0

0.5

1.0

1.5

2.0

●

sd/sqrt(n) = 0.22

standard deviation ofsample means = 0.2

# of means drawn = 47

Sample size (n) = 20

● ●●● ●● ● ●●● ●●●● ●●●● ●●

● Sample pointsPopulation DistributionSample meanTheoretical SEEmpirical SE

x / x_bar

Den

sity

−4 −2 0 2 4

0.0

0.5

1.0

1.5

2.0

●

sd/sqrt(n) = 0.22

standard deviation ofsample means = 0.2

# of means drawn = 48

Sample size (n) = 20

● ●●●●● ●●●● ●● ●●● ●●● ●●

● Sample pointsPopulation DistributionSample meanTheoretical SEEmpirical SE

x / x_bar

Den

sity

−4 −2 0 2 4

0.0

0.5

1.0

1.5

2.0

●

sd/sqrt(n) = 0.22

standard deviation ofsample means = 0.2

# of means drawn = 49

Sample size (n) = 20

●● ● ●● ●● ●● ●●● ●● ●● ●● ●●

● Sample pointsPopulation DistributionSample meanTheoretical SEEmpirical SE

x / x_bar

Den

sity

−4 −2 0 2 4

0.0

0.5

1.0

1.5

2.0

●

sd/sqrt(n) = 0.22

standard deviation ofsample means = 0.2

# of means drawn = 50

Sample size (n) = 20

● ●●● ● ● ●● ●●●● ●● ● ●●● ●●

● Sample pointsPopulation DistributionSample meanTheoretical SEEmpirical SE

x / x_bar

Den

sity

−4 −2 0 2 4

0.0

0.5

1.0

1.5

2.0

●

sd/sqrt(n) = 0.22

standard deviation ofsample means = 0.19

# of means drawn = 51

Sample size (n) = 20

● ●● ●●●●●●●● ● ● ●● ●●● ● ●

● Sample pointsPopulation DistributionSample meanTheoretical SEEmpirical SE

x / x_bar

Den

sity

−4 −2 0 2 4

0.0

0.5

1.0

1.5

2.0

●

sd/sqrt(n) = 0.22

standard deviation ofsample means = 0.19

# of means drawn = 52

Sample size (n) = 20

● ●●● ●●●● ●●●● ●●●●● ● ●●

● Sample pointsPopulation DistributionSample meanTheoretical SEEmpirical SE

x / x_bar

Den

sity

−4 −2 0 2 4

0.0

0.5

1.0

1.5

2.0

●

sd/sqrt(n) = 0.22

standard deviation ofsample means = 0.2

# of means drawn = 53

Sample size (n) = 20

●● ● ●●● ●●● ●● ●● ●●● ● ●● ●

● Sample pointsPopulation DistributionSample meanTheoretical SEEmpirical SE

x / x_bar

Den

sity

−4 −2 0 2 4

0.0

0.5

1.0

1.5

2.0

●

sd/sqrt(n) = 0.22

standard deviation ofsample means = 0.2

# of means drawn = 54

Sample size (n) = 20

● ●● ●● ●●● ●● ● ●●●●● ●● ●●

● Sample pointsPopulation DistributionSample meanTheoretical SEEmpirical SE

x / x_bar

Den

sity

−4 −2 0 2 4

0.0

0.5

1.0

1.5

2.0

●

sd/sqrt(n) = 0.22

standard deviation ofsample means = 0.19

# of means drawn = 55

Sample size (n) = 20

●●● ●●●● ●● ● ●●●●●● ●●● ●

● Sample pointsPopulation DistributionSample meanTheoretical SEEmpirical SE

x / x_bar

Den

sity

−4 −2 0 2 4

0.0

0.5

1.0

1.5

2.0

●

sd/sqrt(n) = 0.22

standard deviation ofsample means = 0.19

# of means drawn = 56

Sample size (n) = 20

● ● ●●●● ●● ●●● ●●● ●● ● ● ●●

● Sample pointsPopulation DistributionSample meanTheoretical SEEmpirical SE

x / x_bar

Den

sity

−4 −2 0 2 4

0.0

0.5

1.0

1.5

2.0

●

sd/sqrt(n) = 0.22

standard deviation ofsample means = 0.19

# of means drawn = 57

Sample size (n) = 20

● ●●● ●● ●●●● ●● ● ●●●● ●●●

● Sample pointsPopulation DistributionSample meanTheoretical SEEmpirical SE

x / x_bar

Den

sity

−4 −2 0 2 4

0.0

0.5

1.0

1.5

2.0

●

sd/sqrt(n) = 0.22

standard deviation ofsample means = 0.19

# of means drawn = 58

Sample size (n) = 20

●● ● ● ●●● ●●●●●● ● ●● ● ●●●

● Sample pointsPopulation DistributionSample meanTheoretical SEEmpirical SE

x / x_bar

Den

sity

−4 −2 0 2 4

0.0

0.5

1.0

1.5

2.0

●

sd/sqrt(n) = 0.22

standard deviation ofsample means = 0.19

# of means drawn = 59

Sample size (n) = 20

● ● ●● ● ●●●●● ● ●● ● ●●● ●● ●

● Sample pointsPopulation DistributionSample meanTheoretical SEEmpirical SE

x / x_bar

Den

sity

−4 −2 0 2 4

0.0

0.5

1.0

1.5

2.0

●

sd/sqrt(n) = 0.22

standard deviation ofsample means = 0.2

# of means drawn = 60

Sample size (n) = 20

● ●●●●● ●● ●●● ●● ●●● ●● ●●

● Sample pointsPopulation DistributionSample meanTheoretical SEEmpirical SE

x / x_bar

Den

sity

−4 −2 0 2 4

0.0

0.5

1.0

1.5

2.0

●

sd/sqrt(n) = 0.22

standard deviation ofsample means = 0.2

# of means drawn = 61

Sample size (n) = 20

●●●● ● ●● ●● ●●●● ● ●●● ●● ●

● Sample pointsPopulation DistributionSample meanTheoretical SEEmpirical SE

x / x_bar

Den

sity

−4 −2 0 2 4

0.0

0.5

1.0

1.5

2.0

●

sd/sqrt(n) = 0.22

standard deviation ofsample means = 0.2

# of means drawn = 62

Sample size (n) = 20

●● ●●● ●● ●● ●●●● ● ● ●● ● ●●

● Sample pointsPopulation DistributionSample meanTheoretical SEEmpirical SE

x / x_bar

Den

sity

−4 −2 0 2 4

0.0

0.5

1.0

1.5

2.0

●

sd/sqrt(n) = 0.22

standard deviation ofsample means = 0.2

# of means drawn = 63

Sample size (n) = 20

● ●●● ●● ●● ●●●●●● ●●● ●●●

● Sample pointsPopulation DistributionSample meanTheoretical SEEmpirical SE

x / x_bar

Den

sity

−4 −2 0 2 4

0.0

0.5

1.0

1.5

2.0

●

sd/sqrt(n) = 0.22

standard deviation ofsample means = 0.2

# of means drawn = 64

Sample size (n) = 20

● ●●●●●● ●● ● ●● ●● ●● ●● ● ●

● Sample pointsPopulation DistributionSample meanTheoretical SEEmpirical SE

x / x_bar

Den

sity

−4 −2 0 2 4

0.0

0.5

1.0

1.5

2.0

●

sd/sqrt(n) = 0.22

standard deviation ofsample means = 0.21

# of means drawn = 65

Sample size (n) = 20

●●● ●●●●●●● ●● ● ●●● ● ●●●

● Sample pointsPopulation DistributionSample meanTheoretical SEEmpirical SE

x / x_bar

Den

sity

−4 −2 0 2 4

0.0

0.5

1.0

1.5

2.0

●

sd/sqrt(n) = 0.22

standard deviation ofsample means = 0.21

# of means drawn = 66

Sample size (n) = 20

●●●●● ● ●● ●● ●● ● ●● ●● ● ● ●

● Sample pointsPopulation DistributionSample meanTheoretical SEEmpirical SE

x / x_bar

Den

sity

−4 −2 0 2 4

0.0

0.5

1.0

1.5

2.0

●

sd/sqrt(n) = 0.22

standard deviation ofsample means = 0.21

# of means drawn = 67

Sample size (n) = 20

●●●●● ● ●● ● ●●●● ●● ●●●● ●

● Sample pointsPopulation DistributionSample meanTheoretical SEEmpirical SE

x / x_bar

Den

sity

−4 −2 0 2 4

0.0

0.5

1.0

1.5

2.0

●

sd/sqrt(n) = 0.22

standard deviation ofsample means = 0.21

# of means drawn = 68

Sample size (n) = 20

●●● ●● ● ●●● ●● ●● ● ●● ●● ●●

● Sample pointsPopulation DistributionSample meanTheoretical SEEmpirical SE

x / x_bar

Den

sity

−4 −2 0 2 4

0.0

0.5

1.0

1.5

2.0

●

sd/sqrt(n) = 0.22

standard deviation ofsample means = 0.21

# of means drawn = 69

Sample size (n) = 20

●● ●●●● ●● ● ●● ● ● ●● ●●●●●

● Sample pointsPopulation DistributionSample meanTheoretical SEEmpirical SE

x / x_bar

Den

sity

−4 −2 0 2 4

0.0

0.5

1.0

1.5

2.0

●

sd/sqrt(n) = 0.22

standard deviation ofsample means = 0.21

# of means drawn = 70

Sample size (n) = 20

●● ● ●● ●● ●●● ●● ●●●● ●● ●●

● Sample pointsPopulation DistributionSample meanTheoretical SEEmpirical SE

x / x_bar

Den

sity

−4 −2 0 2 4

0.0

0.5

1.0

1.5

2.0

●

sd/sqrt(n) = 0.22

standard deviation ofsample means = 0.21

# of means drawn = 71

Sample size (n) = 20

●● ●● ●● ●●●● ● ●●● ● ●●● ●●

● Sample pointsPopulation DistributionSample meanTheoretical SEEmpirical SE

x / x_bar

Den

sity

−4 −2 0 2 4

0.0

0.5

1.0

1.5

2.0

●

sd/sqrt(n) = 0.22

standard deviation ofsample means = 0.21

# of means drawn = 72

Sample size (n) = 20

●● ●● ●● ●● ● ●● ● ●●●●● ●● ●

● Sample pointsPopulation DistributionSample meanTheoretical SEEmpirical SE

x / x_bar

Den

sity

−4 −2 0 2 4

0.0

0.5

1.0

1.5

2.0

●

sd/sqrt(n) = 0.22

standard deviation ofsample means = 0.21

# of means drawn = 73

Sample size (n) = 20

●●● ●● ●●● ● ●●●● ●● ●● ●● ●

● Sample pointsPopulation DistributionSample meanTheoretical SEEmpirical SE

x / x_bar

Den

sity

−4 −2 0 2 4

0.0

0.5

1.0

1.5

2.0

●

sd/sqrt(n) = 0.22

standard deviation ofsample means = 0.21

# of means drawn = 74

Sample size (n) = 20

●● ●● ●●● ● ●● ●● ●● ●●●● ●●

● Sample pointsPopulation DistributionSample meanTheoretical SEEmpirical SE

x / x_bar

Den

sity

−4 −2 0 2 4

0.0

0.5

1.0

1.5

2.0

●

sd/sqrt(n) = 0.22

standard deviation ofsample means = 0.21

# of means drawn = 75

Sample size (n) = 20

●● ● ●●●●●● ● ●● ●●● ●●●● ●

● Sample pointsPopulation DistributionSample meanTheoretical SEEmpirical SE

x / x_bar

Den

sity

−4 −2 0 2 4

0.0

0.5

1.0

1.5

2.0

●

sd/sqrt(n) = 0.22

standard deviation ofsample means = 0.21

# of means drawn = 76

Sample size (n) = 20

●●● ● ●● ● ● ●● ●●●● ●●● ●● ●

● Sample pointsPopulation DistributionSample meanTheoretical SEEmpirical SE

x / x_bar

Den

sity

−4 −2 0 2 4

0.0

0.5

1.0

1.5

2.0

●

sd/sqrt(n) = 0.22

standard deviation ofsample means = 0.21

# of means drawn = 77

Sample size (n) = 20

● ●● ● ●● ●●●● ●● ●●● ● ●● ●●

● Sample pointsPopulation DistributionSample meanTheoretical SEEmpirical SE

x / x_bar

Den

sity

−4 −2 0 2 4

0.0

0.5

1.0

1.5

2.0

●

sd/sqrt(n) = 0.22

standard deviation ofsample means = 0.21

# of means drawn = 78

Sample size (n) = 20

●● ●●● ● ●● ●●● ● ●●●● ●●●●

● Sample pointsPopulation DistributionSample meanTheoretical SEEmpirical SE

x / x_bar

Den

sity

−4 −2 0 2 4

0.0

0.5

1.0

1.5

2.0

●

sd/sqrt(n) = 0.22

standard deviation ofsample means = 0.21

# of means drawn = 79

Sample size (n) = 20

● ●●● ● ●● ●●● ●● ● ●● ●● ●● ●

● Sample pointsPopulation DistributionSample meanTheoretical SEEmpirical SE

x / x_bar

Den

sity

−4 −2 0 2 4

0.0

0.5

1.0

1.5

2.0

●

sd/sqrt(n) = 0.22

standard deviation ofsample means = 0.21

# of means drawn = 80

Sample size (n) = 20

●●● ● ●● ● ●●●●● ●● ●●● ●●●

● Sample pointsPopulation DistributionSample meanTheoretical SEEmpirical SE

x / x_bar

Den

sity

−4 −2 0 2 4

0.0

0.5

1.0

1.5

2.0

●

sd/sqrt(n) = 0.22

standard deviation ofsample means = 0.2

# of means drawn = 81

Sample size (n) = 20

●● ●●●●● ●● ●● ●● ●● ●● ●● ●

● Sample pointsPopulation DistributionSample meanTheoretical SEEmpirical SE

x / x_bar

Den

sity

−4 −2 0 2 4

0.0

0.5

1.0

1.5

2.0

●

sd/sqrt(n) = 0.22

standard deviation ofsample means = 0.2

# of means drawn = 82

Sample size (n) = 20

●●●●● ●● ●● ● ●● ● ●●● ●● ● ●

● Sample pointsPopulation DistributionSample meanTheoretical SEEmpirical SE

x / x_bar

Den

sity

−4 −2 0 2 4

0.0

0.5

1.0

1.5

2.0

●

sd/sqrt(n) = 0.22

standard deviation ofsample means = 0.2

# of means drawn = 83

Sample size (n) = 20

●●●● ●● ●●● ●● ● ●●● ● ●● ●●

● Sample pointsPopulation DistributionSample meanTheoretical SEEmpirical SE

x / x_bar

Den

sity

−4 −2 0 2 4

0.0

0.5

1.0

1.5

2.0

●

sd/sqrt(n) = 0.22

standard deviation ofsample means = 0.2

# of means drawn = 84

Sample size (n) = 20

● ● ●● ● ●●● ●● ●● ● ●● ●● ●● ●

● Sample pointsPopulation DistributionSample meanTheoretical SEEmpirical SE

x / x_bar

Den

sity

−4 −2 0 2 4

0.0

0.5

1.0

1.5

2.0

●

sd/sqrt(n) = 0.22

standard deviation ofsample means = 0.21

# of means drawn = 85

Sample size (n) = 20

●● ● ● ●●●● ●● ●● ●● ●●●●● ●

● Sample pointsPopulation DistributionSample meanTheoretical SEEmpirical SE

x / x_bar

Den

sity

−4 −2 0 2 4

0.0

0.5

1.0

1.5

2.0

●

sd/sqrt(n) = 0.22

standard deviation ofsample means = 0.2

# of means drawn = 86

Sample size (n) = 20

● ●● ● ●● ●● ● ●●● ●●● ●●● ●●

● Sample pointsPopulation DistributionSample meanTheoretical SEEmpirical SE

x / x_bar

Den

sity

−4 −2 0 2 4

0.0

0.5

1.0

1.5

2.0

●

sd/sqrt(n) = 0.22

standard deviation ofsample means = 0.2

# of means drawn = 87

Sample size (n) = 20

●●●● ●● ●●● ●● ●●● ● ●●● ● ●

● Sample pointsPopulation DistributionSample meanTheoretical SEEmpirical SE

x / x_bar

Den

sity

−4 −2 0 2 4

0.0

0.5

1.0

1.5

2.0

●

sd/sqrt(n) = 0.22

standard deviation ofsample means = 0.21

# of means drawn = 88

Sample size (n) = 20

● ●●● ●●●● ●● ● ● ●● ● ●● ●● ●

● Sample pointsPopulation DistributionSample meanTheoretical SEEmpirical SE

x / x_bar

Den

sity

−4 −2 0 2 4

0.0

0.5

1.0

1.5

2.0

●

sd/sqrt(n) = 0.22

standard deviation ofsample means = 0.2

# of means drawn = 89

Sample size (n) = 20

●●●● ●●● ● ●●● ●● ●● ●●●● ●

● Sample pointsPopulation DistributionSample meanTheoretical SEEmpirical SE

x / x_bar

Den

sity

−4 −2 0 2 4

0.0

0.5

1.0

1.5

2.0

●

sd/sqrt(n) = 0.22

standard deviation ofsample means = 0.2

# of means drawn = 90

Sample size (n) = 20

●● ●●● ●● ● ●●● ● ●● ● ●● ●● ●

● Sample pointsPopulation DistributionSample meanTheoretical SEEmpirical SE

x / x_bar

Den

sity

−4 −2 0 2 4

0.0

0.5

1.0

1.5

2.0

●

sd/sqrt(n) = 0.22

standard deviation ofsample means = 0.2

# of means drawn = 91

Sample size (n) = 20

● ●●● ●●● ●● ●● ●●●● ● ●● ●●

● Sample pointsPopulation DistributionSample meanTheoretical SEEmpirical SE

x / x_bar

Den

sity

−4 −2 0 2 4

0.0

0.5

1.0

1.5

2.0

●

sd/sqrt(n) = 0.22

standard deviation ofsample means = 0.2

# of means drawn = 92

Sample size (n) = 20

●● ●●● ● ●●● ●● ● ●● ●● ● ●● ●

● Sample pointsPopulation DistributionSample meanTheoretical SEEmpirical SE

x / x_bar

Den

sity

−4 −2 0 2 4

0.0

0.5

1.0

1.5

2.0

●

sd/sqrt(n) = 0.22

standard deviation ofsample means = 0.2

# of means drawn = 93

Sample size (n) = 20

●●●● ●●● ● ●●● ●● ●●●● ●●●

● Sample pointsPopulation DistributionSample meanTheoretical SEEmpirical SE

x / x_bar

Den

sity

−4 −2 0 2 4

0.0

0.5

1.0

1.5

2.0

●

sd/sqrt(n) = 0.22

standard deviation ofsample means = 0.2

# of means drawn = 94

Sample size (n) = 20

●● ●●●● ● ●●● ●● ●● ●●● ●● ●

● Sample pointsPopulation DistributionSample meanTheoretical SEEmpirical SE

x / x_bar

Den

sity

−4 −2 0 2 4

0.0

0.5

1.0

1.5

2.0

●

sd/sqrt(n) = 0.22

standard deviation ofsample means = 0.2

# of means drawn = 95

Sample size (n) = 20

●● ●● ●● ●●●● ●●● ● ●●● ●●●

● Sample pointsPopulation DistributionSample meanTheoretical SEEmpirical SE

x / x_bar

Den

sity

−4 −2 0 2 4

0.0

0.5

1.0

1.5

2.0

●

sd/sqrt(n) = 0.22

standard deviation ofsample means = 0.2

# of means drawn = 96

Sample size (n) = 20

●● ● ●● ● ● ●● ●●● ●● ●● ●●●●

● Sample pointsPopulation DistributionSample meanTheoretical SEEmpirical SE

x / x_bar

Den

sity

−4 −2 0 2 4

0.0

0.5

1.0

1.5

2.0

●

sd/sqrt(n) = 0.22

standard deviation ofsample means = 0.2

# of means drawn = 97

Sample size (n) = 20

●●●● ● ●●● ●●● ●●● ● ●●● ●●

● Sample pointsPopulation DistributionSample meanTheoretical SEEmpirical SE

x / x_bar

Den

sity

−4 −2 0 2 4

0.0

0.5

1.0

1.5

2.0

●

sd/sqrt(n) = 0.22

standard deviation ofsample means = 0.2

# of means drawn = 98

Sample size (n) = 20

● ●● ●● ● ● ●●●● ● ●●●● ● ●● ●

● Sample pointsPopulation DistributionSample meanTheoretical SEEmpirical SE

x / x_bar

Den

sity

−4 −2 0 2 4

0.0

0.5

1.0

1.5

2.0

●

sd/sqrt(n) = 0.22

standard deviation ofsample means = 0.2

# of means drawn = 99

Sample size (n) = 20

● ● ●● ●● ●● ●●● ●● ●●● ●● ●●

● Sample pointsPopulation DistributionSample meanTheoretical SEEmpirical SE

x / x_bar

Den

sity

−4 −2 0 2 4

0.0

0.5

1.0

1.5

2.0

●

sd/sqrt(n) = 0.22

standard deviation ofsample means = 0.2

# of means drawn = 100

Sample size (n) = 20

● ● ●● ●● ●● ●●●● ●● ●●● ●●●

● Sample pointsPopulation DistributionSample meanTheoretical SEEmpirical SE

x / x_bar

Den

sity

−4 −2 0 2 4

0.0

0.5

1.0

1.5

2.0

●

sd/sqrt(n) = 0.22

standard deviation ofsample means = 0.2

# of means drawn = 101

Sample size (n) = 20

● ● ●● ●● ●● ●● ●● ●● ●● ●● ●●

● Sample pointsPopulation DistributionSample meanTheoretical SEEmpirical SE

x / x_bar

Den

sity

−4 −2 0 2 4

0.0

0.5

1.0

1.5

2.0

●

sd/sqrt(n) = 0.22

standard deviation ofsample means = 0.2

# of means drawn = 102

Sample size (n) = 20

●● ● ●●●● ●●● ● ●● ●●● ●●● ●

● Sample pointsPopulation DistributionSample meanTheoretical SEEmpirical SE

x / x_bar

Den

sity

−4 −2 0 2 4

0.0

0.5

1.0

1.5

2.0

●

sd/sqrt(n) = 0.22

standard deviation ofsample means = 0.2

# of means drawn = 103

Sample size (n) = 20

●● ●●● ●● ●● ●●●●● ● ●●●● ●

● Sample pointsPopulation DistributionSample meanTheoretical SEEmpirical SE

x / x_bar

Den

sity

−4 −2 0 2 4

0.0

0.5

1.0

1.5

2.0

●

sd/sqrt(n) = 0.22

standard deviation ofsample means = 0.2

# of means drawn = 104

Sample size (n) = 20

● ●●● ●● ●●●●● ● ●●●●●●● ●

● Sample pointsPopulation DistributionSample meanTheoretical SEEmpirical SE

x / x_bar

Den

sity

−4 −2 0 2 4

0.0

0.5

1.0

1.5

2.0

●

sd/sqrt(n) = 0.22

standard deviation ofsample means = 0.2

# of means drawn = 105

Sample size (n) = 20

●● ●● ●●● ● ●● ●●● ●● ● ●● ●●

● Sample pointsPopulation DistributionSample meanTheoretical SEEmpirical SE

x / x_bar

Den

sity

−4 −2 0 2 4

0.0

0.5

1.0

1.5

2.0

●

sd/sqrt(n) = 0.22

standard deviation ofsample means = 0.2

# of means drawn = 106

Sample size (n) = 20

●●●●● ●● ●● ● ●●●●● ●● ●● ●

● Sample pointsPopulation DistributionSample meanTheoretical SEEmpirical SE

x / x_bar

Den

sity

−4 −2 0 2 4

0.0

0.5

1.0

1.5

2.0

●

sd/sqrt(n) = 0.22

standard deviation ofsample means = 0.2

# of means drawn = 107

Sample size (n) = 20

● ●● ●●● ●●●●●● ●●●● ●● ●●

● Sample pointsPopulation DistributionSample meanTheoretical SEEmpirical SE

x / x_bar

Den

sity

−4 −2 0 2 4

0.0

0.5

1.0

1.5

2.0

●

sd/sqrt(n) = 0.22

standard deviation ofsample means = 0.2

# of means drawn = 108

Sample size (n) = 20

●●●●●●●● ●● ●●●●● ● ●● ●●

● Sample pointsPopulation DistributionSample meanTheoretical SEEmpirical SE

x / x_bar

Den

sity

−4 −2 0 2 4

0.0

0.5

1.0

1.5

2.0

●

sd/sqrt(n) = 0.22

standard deviation ofsample means = 0.2

# of means drawn = 109

Sample size (n) = 20

● ●● ●●●●● ●● ●●● ● ●● ●● ●●

● Sample pointsPopulation DistributionSample meanTheoretical SEEmpirical SE

x / x_bar

Den

sity

−4 −2 0 2 4

0.0

0.5

1.0

1.5

2.0

●

sd/sqrt(n) = 0.22

standard deviation ofsample means = 0.19

# of means drawn = 110

Sample size (n) = 20

● ●● ●● ● ●● ●● ●● ● ●● ●●● ●●

● Sample pointsPopulation DistributionSample meanTheoretical SEEmpirical SE

x / x_bar

Den

sity

−4 −2 0 2 4

0.0

0.5

1.0

1.5

2.0

●

sd/sqrt(n) = 0.22

standard deviation ofsample means = 0.19

# of means drawn = 111

Sample size (n) = 20

● ● ●● ●● ●● ●● ● ●●●● ●●● ● ●

● Sample pointsPopulation DistributionSample meanTheoretical SEEmpirical SE

x / x_bar

Den

sity

−4 −2 0 2 4

0.0

0.5

1.0

1.5

2.0

●

sd/sqrt(n) = 0.22

standard deviation ofsample means = 0.2

# of means drawn = 112

Sample size (n) = 20

●● ●●● ●●● ● ●●● ●● ●●● ●● ●

● Sample pointsPopulation DistributionSample meanTheoretical SEEmpirical SE

x / x_bar

Den

sity

−4 −2 0 2 4

0.0

0.5

1.0

1.5

2.0

●

sd/sqrt(n) = 0.22

standard deviation ofsample means = 0.2

# of means drawn = 113

Sample size (n) = 20

●●● ●● ●● ●● ●● ●●●● ●● ● ●●

● Sample pointsPopulation DistributionSample meanTheoretical SEEmpirical SE

x / x_bar

Den

sity

−4 −2 0 2 4

0.0

0.5

1.0

1.5

2.0

●

sd/sqrt(n) = 0.22

standard deviation ofsample means = 0.2

# of means drawn = 114

Sample size (n) = 20

●● ●●● ● ●●● ● ●●● ● ●● ●● ● ●

● Sample pointsPopulation DistributionSample meanTheoretical SEEmpirical SE

x / x_bar

Den

sity

−4 −2 0 2 4

0.0

0.5

1.0

1.5

2.0

●

sd/sqrt(n) = 0.22

standard deviation ofsample means = 0.2

# of means drawn = 115

Sample size (n) = 20

● ●● ● ●● ●●●● ●●●● ●● ●●● ●

● Sample pointsPopulation DistributionSample meanTheoretical SEEmpirical SE

x / x_bar

Den

sity

−4 −2 0 2 4

0.0

0.5

1.0

1.5

2.0

●

sd/sqrt(n) = 0.22

standard deviation ofsample means = 0.21

# of means drawn = 116

Sample size (n) = 20

●● ●● ● ●●● ●●●● ●●● ●● ●●●

● Sample pointsPopulation DistributionSample meanTheoretical SEEmpirical SE

x / x_bar

Den

sity

−4 −2 0 2 4

0.0

0.5

1.0

1.5

2.0

●

sd/sqrt(n) = 0.22

standard deviation ofsample means = 0.2

# of means drawn = 117

Sample size (n) = 20

●●● ●● ●● ●● ●●●●● ●● ● ●●●

● Sample pointsPopulation DistributionSample meanTheoretical SEEmpirical SE

x / x_bar

Den

sity

−4 −2 0 2 4

0.0

0.5

1.0

1.5

2.0

●

sd/sqrt(n) = 0.22

standard deviation ofsample means = 0.2

# of means drawn = 118

Sample size (n) = 20

● ●●●● ●● ●● ●● ●● ● ● ●●● ●●

● Sample pointsPopulation DistributionSample meanTheoretical SEEmpirical SE

x / x_bar

Den

sity

−4 −2 0 2 4

0.0

0.5

1.0

1.5

2.0

●

sd/sqrt(n) = 0.22

standard deviation ofsample means = 0.2

# of means drawn = 119

Sample size (n) = 20

● ●●● ● ●●●● ●● ●●● ●● ● ●● ●

● Sample pointsPopulation DistributionSample meanTheoretical SEEmpirical SE

x / x_bar

Den

sity

−4 −2 0 2 4

0.0

0.5

1.0

1.5

2.0

●

sd/sqrt(n) = 0.22

standard deviation ofsample means = 0.2

# of means drawn = 120

Sample size (n) = 20

●● ●● ●● ● ●●●●● ●● ● ●● ●●●

● Sample pointsPopulation DistributionSample meanTheoretical SEEmpirical SE

x / x_bar

Den

sity

−4 −2 0 2 4

0.0

0.5

1.0

1.5

2.0

●

sd/sqrt(n) = 0.22

standard deviation ofsample means = 0.2

# of means drawn = 121

Sample size (n) = 20

● ●● ● ●●● ●●●● ●● ●●●● ● ●●

● Sample pointsPopulation DistributionSample meanTheoretical SEEmpirical SE

x / x_bar

Den

sity

−4 −2 0 2 4

0.0

0.5

1.0

1.5

2.0

●

sd/sqrt(n) = 0.22

standard deviation ofsample means = 0.2

# of means drawn = 122

Sample size (n) = 20

●●● ●● ●● ●● ●●● ● ●● ●● ●●●

● Sample pointsPopulation DistributionSample meanTheoretical SEEmpirical SE

x / x_bar

Den

sity

−4 −2 0 2 4

0.0

0.5

1.0

1.5

2.0

●

sd/sqrt(n) = 0.22

standard deviation ofsample means = 0.2

# of means drawn = 123

Sample size (n) = 20

●● ●● ●●● ● ●●●●● ● ●●● ●●●

● Sample pointsPopulation DistributionSample meanTheoretical SEEmpirical SE

x / x_bar

Den

sity

−4 −2 0 2 4

0.0

0.5

1.0

1.5

2.0

●

sd/sqrt(n) = 0.22

standard deviation ofsample means = 0.2

# of means drawn = 124

Sample size (n) = 20

●● ● ●● ●●●● ●●● ●● ●●● ● ●●

● Sample pointsPopulation DistributionSample meanTheoretical SEEmpirical SE

x / x_bar

Den

sity

−4 −2 0 2 4

0.0

0.5

1.0

1.5

2.0

●

sd/sqrt(n) = 0.22

standard deviation ofsample means = 0.2

# of means drawn = 125

Sample size (n) = 20

●●● ●●●● ● ●● ●● ●●● ●●●●●

● Sample pointsPopulation DistributionSample meanTheoretical SEEmpirical SE

x / x_bar

Den

sity

−4 −2 0 2 4

0.0

0.5

1.0

1.5

2.0

●

sd/sqrt(n) = 0.22

standard deviation ofsample means = 0.2

# of means drawn = 126

Sample size (n) = 20

●●● ●●● ●● ● ●●● ● ●● ● ●●● ●

● Sample pointsPopulation DistributionSample meanTheoretical SEEmpirical SE

x / x_bar

Den

sity

−4 −2 0 2 4

0.0

0.5

1.0

1.5

2.0

●

sd/sqrt(n) = 0.22

standard deviation ofsample means = 0.2

# of means drawn = 127

Sample size (n) = 20

● ●●● ● ●●● ●● ●●● ● ●●●● ●●

● Sample pointsPopulation DistributionSample meanTheoretical SEEmpirical SE

x / x_bar

Den

sity

−4 −2 0 2 4

0.0

0.5

1.0

1.5

2.0

●

sd/sqrt(n) = 0.22

standard deviation ofsample means = 0.2

# of means drawn = 128

Sample size (n) = 20

●●●● ●● ● ●●●● ● ● ●● ●●● ●●

● Sample pointsPopulation DistributionSample meanTheoretical SEEmpirical SE

x / x_bar

Den

sity

−4 −2 0 2 4

0.0

0.5

1.0

1.5

2.0

●

sd/sqrt(n) = 0.22

standard deviation ofsample means = 0.2

# of means drawn = 129

Sample size (n) = 20

● ●● ●●● ● ●● ● ●● ● ●● ●●●● ●

● Sample pointsPopulation DistributionSample meanTheoretical SEEmpirical SE

x / x_bar

Den

sity

−4 −2 0 2 4

0.0

0.5

1.0

1.5

2.0

●

sd/sqrt(n) = 0.22

standard deviation ofsample means = 0.2

# of means drawn = 130

Sample size (n) = 20

●●●● ●●●● ●● ●● ● ●●● ●●● ●

● Sample pointsPopulation DistributionSample meanTheoretical SEEmpirical SE

x / x_bar

Den

sity

−4 −2 0 2 4

0.0

0.5

1.0

1.5

2.0

●

sd/sqrt(n) = 0.22

standard deviation ofsample means = 0.2

# of means drawn = 131

Sample size (n) = 20

●●● ●● ●● ●●●● ●●●● ● ●●●●

● Sample pointsPopulation DistributionSample meanTheoretical SEEmpirical SE

x / x_bar

Den

sity

−4 −2 0 2 4

0.0

0.5

1.0

1.5

2.0

●

sd/sqrt(n) = 0.22

standard deviation ofsample means = 0.2

# of means drawn = 132

Sample size (n) = 20

●● ● ●● ● ●●● ● ●●● ●● ●● ●●●

● Sample pointsPopulation DistributionSample meanTheoretical SEEmpirical SE

x / x_bar

Den

sity

−4 −2 0 2 4

0.0

0.5

1.0

1.5

2.0

●

sd/sqrt(n) = 0.22

standard deviation ofsample means = 0.2

# of means drawn = 133

Sample size (n) = 20

●●●● ● ●●●● ●● ● ●● ●● ● ●●●

● Sample pointsPopulation DistributionSample meanTheoretical SEEmpirical SE

x / x_bar

Den

sity

−4 −2 0 2 4

0.0

0.5

1.0

1.5

2.0

●

sd/sqrt(n) = 0.22

standard deviation ofsample means = 0.2

# of means drawn = 134

Sample size (n) = 20

● ● ●●● ●● ● ●●● ●●●● ● ● ● ●●

● Sample pointsPopulation DistributionSample meanTheoretical SEEmpirical SE

x / x_bar

Den

sity

−4 −2 0 2 4

0.0

0.5

1.0

1.5

2.0

●

sd/sqrt(n) = 0.22

standard deviation ofsample means = 0.2

# of means drawn = 135

Sample size (n) = 20

● ●● ● ●● ●●●●●● ●●● ● ●● ● ●

● Sample pointsPopulation DistributionSample meanTheoretical SEEmpirical SE

x / x_bar

Den

sity

−4 −2 0 2 4

0.0

0.5

1.0

1.5

2.0

●

sd/sqrt(n) = 0.22

standard deviation ofsample means = 0.2

# of means drawn = 136

Sample size (n) = 20

●●● ●●● ● ●●●● ●●● ●●●● ●●

● Sample pointsPopulation DistributionSample meanTheoretical SEEmpirical SE

x / x_bar

Den

sity

−4 −2 0 2 4

0.0

0.5

1.0

1.5

2.0

●

sd/sqrt(n) = 0.22

standard deviation ofsample means = 0.2

# of means drawn = 137

Sample size (n) = 20

●● ●●● ●● ● ●● ●●●● ●●●● ●●

● Sample pointsPopulation DistributionSample meanTheoretical SEEmpirical SE

x / x_bar

Den

sity

−4 −2 0 2 4

0.0

0.5

1.0

1.5

2.0

●

sd/sqrt(n) = 0.22

standard deviation ofsample means = 0.2

# of means drawn = 138

Sample size (n) = 20

● ●● ●●● ● ●● ●● ●●● ●●● ● ●●

● Sample pointsPopulation DistributionSample meanTheoretical SEEmpirical SE

x / x_bar

Den

sity

−4 −2 0 2 4

0.0

0.5

1.0

1.5

2.0

●

sd/sqrt(n) = 0.22

standard deviation ofsample means = 0.2

# of means drawn = 139

Sample size (n) = 20

●● ● ●●●● ●●● ● ● ●●● ● ●●●●

● Sample pointsPopulation DistributionSample meanTheoretical SEEmpirical SE

x / x_bar

Den

sity

−4 −2 0 2 4

0.0

0.5

1.0

1.5

2.0

●

sd/sqrt(n) = 0.22

standard deviation ofsample means = 0.2

# of means drawn = 140

Sample size (n) = 20

●● ●●● ●●● ● ●● ●●●●●● ●● ●

● Sample pointsPopulation DistributionSample meanTheoretical SEEmpirical SE

x / x_bar

Den

sity

−4 −2 0 2 4

0.0

0.5

1.0

1.5

2.0

●

sd/sqrt(n) = 0.22

standard deviation ofsample means = 0.2

# of means drawn = 141

Sample size (n) = 20

● ●●●● ●● ● ● ●● ●● ●●● ●● ●●

● Sample pointsPopulation DistributionSample meanTheoretical SEEmpirical SE

x / x_bar

Den

sity

−4 −2 0 2 4

0.0

0.5

1.0

1.5

2.0

●

sd/sqrt(n) = 0.22

standard deviation ofsample means = 0.2

# of means drawn = 142

Sample size (n) = 20

●● ●● ● ● ●●●● ● ●●● ●● ● ●● ●

● Sample pointsPopulation DistributionSample meanTheoretical SEEmpirical SE

x / x_bar

Den

sity

−4 −2 0 2 4

0.0

0.5

1.0

1.5

2.0

●

sd/sqrt(n) = 0.22

standard deviation ofsample means = 0.2

# of means drawn = 143

Sample size (n) = 20

●● ●●● ●●● ●●● ●●● ●●●● ●●

● Sample pointsPopulation DistributionSample meanTheoretical SEEmpirical SE

x / x_bar

Den

sity

−4 −2 0 2 4

0.0

0.5

1.0

1.5

2.0

●

sd/sqrt(n) = 0.22

standard deviation ofsample means = 0.21

# of means drawn = 144

Sample size (n) = 20

● ● ●●●● ●● ●●● ● ● ●●● ●●●●

● Sample pointsPopulation DistributionSample meanTheoretical SEEmpirical SE

x / x_bar

Den

sity

−4 −2 0 2 4

0.0

0.5

1.0

1.5

2.0

●

sd/sqrt(n) = 0.22

standard deviation ofsample means = 0.21

# of means drawn = 145

Sample size (n) = 20

●● ● ● ●●●● ●● ●●● ●● ●● ● ● ●

● Sample pointsPopulation DistributionSample meanTheoretical SEEmpirical SE

x / x_bar

Den

sity

−4 −2 0 2 4

0.0

0.5

1.0

1.5

2.0

●

sd/sqrt(n) = 0.22

standard deviation ofsample means = 0.21

# of means drawn = 146

Sample size (n) = 20

●●●●●● ●●● ●● ●● ● ●●● ● ●●

● Sample pointsPopulation DistributionSample meanTheoretical SEEmpirical SE

x / x_bar

Den

sity

−4 −2 0 2 4

0.0

0.5

1.0

1.5

2.0

●

sd/sqrt(n) = 0.22

standard deviation ofsample means = 0.21

# of means drawn = 147

Sample size (n) = 20

●●● ●● ●● ●● ● ●●● ●●●● ●●●

● Sample pointsPopulation DistributionSample meanTheoretical SEEmpirical SE

x / x_bar

Den

sity

−4 −2 0 2 4

0.0

0.5

1.0

1.5

2.0

●

sd/sqrt(n) = 0.22

standard deviation ofsample means = 0.2

# of means drawn = 148

Sample size (n) = 20

●● ●● ● ●●●●●● ●● ● ●●●● ● ●

● Sample pointsPopulation DistributionSample meanTheoretical SEEmpirical SE

x / x_bar

Den

sity

−4 −2 0 2 4

0.0

0.5

1.0

1.5

2.0

●

sd/sqrt(n) = 0.22

standard deviation ofsample means = 0.2

# of means drawn = 149

Sample size (n) = 20

●●● ●● ●●● ●● ●● ●●● ●● ●● ●

● Sample pointsPopulation DistributionSample meanTheoretical SEEmpirical SE

x / x_bar

Den

sity

−4 −2 0 2 4

0.0

0.5

1.0

1.5

2.0

●

sd/sqrt(n) = 0.22

standard deviation ofsample means = 0.2

# of means drawn = 150

Sample size (n) = 20

● ●● ● ●● ●●●● ● ●●●● ●●●● ●

● Sample pointsPopulation DistributionSample meanTheoretical SEEmpirical SE

x / x_bar

Den

sity

−4 −2 0 2 4

0.0

0.5

1.0

1.5

2.0

●

sd/sqrt(n) = 0.22

standard deviation ofsample means = 0.2

# of means drawn = 151

Sample size (n) = 20

●●● ● ●●● ●● ●● ●● ●● ● ●●●●

● Sample pointsPopulation DistributionSample meanTheoretical SEEmpirical SE

x / x_bar

Den

sity

−4 −2 0 2 4

0.0

0.5

1.0

1.5

2.0

●

sd/sqrt(n) = 0.22

standard deviation ofsample means = 0.2

# of means drawn = 152

Sample size (n) = 20

●●●● ●● ●● ● ●● ● ●● ●●●● ●●

● Sample pointsPopulation DistributionSample meanTheoretical SEEmpirical SE

x / x_bar

Den

sity

−4 −2 0 2 4

0.0

0.5

1.0

1.5

2.0

●

sd/sqrt(n) = 0.22

standard deviation ofsample means = 0.2

# of means drawn = 153

Sample size (n) = 20

●● ●● ●●●● ● ●● ●● ● ●●●● ●●

● Sample pointsPopulation DistributionSample meanTheoretical SEEmpirical SE

x / x_bar

Den

sity

−4 −2 0 2 4

0.0

0.5

1.0

1.5

2.0

●

sd/sqrt(n) = 0.22

standard deviation ofsample means = 0.2

# of means drawn = 154

Sample size (n) = 20

● ●●● ●●● ● ●●● ● ●●● ●●● ● ●

● Sample pointsPopulation DistributionSample meanTheoretical SEEmpirical SE

x / x_bar

Den

sity

−4 −2 0 2 4

0.0

0.5

1.0

1.5

2.0

●

sd/sqrt(n) = 0.22

standard deviation ofsample means = 0.2

# of means drawn = 155

Sample size (n) = 20

● ● ● ●● ● ●● ● ●●●● ● ●● ●● ●●

● Sample pointsPopulation DistributionSample meanTheoretical SEEmpirical SE

x / x_bar

Den

sity

−4 −2 0 2 4

0.0

0.5

1.0

1.5

2.0

●

sd/sqrt(n) = 0.22

standard deviation ofsample means = 0.2

# of means drawn = 156

Sample size (n) = 20

● ● ●● ●●● ●●● ● ●●● ●●●● ●●

● Sample pointsPopulation DistributionSample meanTheoretical SEEmpirical SE

x / x_bar

Den

sity

−4 −2 0 2 4

0.0

0.5

1.0

1.5

2.0

●

sd/sqrt(n) = 0.22

standard deviation ofsample means = 0.2

# of means drawn = 157

Sample size (n) = 20

●●● ●● ●● ● ●●●● ●● ●● ●●●●

● Sample pointsPopulation DistributionSample meanTheoretical SEEmpirical SE

x / x_bar

Den

sity

−4 −2 0 2 4

0.0

0.5

1.0

1.5

2.0

●

sd/sqrt(n) = 0.22

standard deviation ofsample means = 0.2

# of means drawn = 158

Sample size (n) = 20

● ● ●● ●●● ●●● ● ●●● ●●● ● ●●

● Sample pointsPopulation DistributionSample meanTheoretical SEEmpirical SE

x / x_bar

Den

sity

−4 −2 0 2 4

0.0

0.5

1.0

1.5

2.0

●

sd/sqrt(n) = 0.22

standard deviation ofsample means = 0.2

# of means drawn = 159

Sample size (n) = 20

●●●● ●●● ● ●● ●●●● ●●●● ●●

● Sample pointsPopulation DistributionSample meanTheoretical SEEmpirical SE

x / x_bar

Den

sity

−4 −2 0 2 4

0.0

0.5

1.0

1.5

2.0

●

sd/sqrt(n) = 0.22

standard deviation ofsample means = 0.2

# of means drawn = 160

Sample size (n) = 20

●●● ● ● ●●● ●●●● ●●●●●● ● ●

● Sample pointsPopulation DistributionSample meanTheoretical SEEmpirical SE

x / x_bar

Den

sity

−4 −2 0 2 4

0.0

0.5

1.0

1.5

2.0

●

sd/sqrt(n) = 0.22

standard deviation ofsample means = 0.2

# of means drawn = 161

Sample size (n) = 20

●●●● ● ●● ●●●● ●●● ● ● ●●●●

● Sample pointsPopulation DistributionSample meanTheoretical SEEmpirical SE

x / x_bar

Den

sity

−4 −2 0 2 4

0.0

0.5

1.0

1.5

2.0

●

sd/sqrt(n) = 0.22

standard deviation ofsample means = 0.2

# of means drawn = 162

Sample size (n) = 20

●● ●● ● ● ●●●● ●●● ●●●● ●●●

● Sample pointsPopulation DistributionSample meanTheoretical SEEmpirical SE

x / x_bar

Den

sity

−4 −2 0 2 4

0.0

0.5

1.0

1.5

2.0

●

sd/sqrt(n) = 0.22

standard deviation ofsample means = 0.2

# of means drawn = 163

Sample size (n) = 20

● ●●● ●●● ●● ● ●● ●● ●● ●● ●●

● Sample pointsPopulation DistributionSample meanTheoretical SEEmpirical SE

x / x_bar

Den

sity

−4 −2 0 2 4

0.0

0.5

1.0

1.5

2.0

●

sd/sqrt(n) = 0.22

standard deviation ofsample means = 0.2

# of means drawn = 164

Sample size (n) = 20

● ●● ●●●●● ●●● ●●●●● ●●● ●

● Sample pointsPopulation DistributionSample meanTheoretical SEEmpirical SE

x / x_bar

Den

sity

−4 −2 0 2 4

0.0

0.5

1.0

1.5

2.0

●

sd/sqrt(n) = 0.22

standard deviation ofsample means = 0.2

# of means drawn = 165

Sample size (n) = 20

●● ● ● ●● ● ●● ●● ●● ●●● ● ●●●

● Sample pointsPopulation DistributionSample meanTheoretical SEEmpirical SE

x / x_bar

Den

sity

−4 −2 0 2 4

0.0

0.5

1.0

1.5

2.0

●

sd/sqrt(n) = 0.22

standard deviation ofsample means = 0.21

# of means drawn = 166

Sample size (n) = 20

●● ●● ●●● ● ●● ●●●● ● ●● ●●●

● Sample pointsPopulation DistributionSample meanTheoretical SEEmpirical SE

x / x_bar

Den

sity

−4 −2 0 2 4

0.0

0.5

1.0

1.5

2.0

●

sd/sqrt(n) = 0.22

standard deviation ofsample means = 0.21

# of means drawn = 167

Sample size (n) = 20

● ● ●●● ●●●● ● ● ●●● ● ● ●●● ●

● Sample pointsPopulation DistributionSample meanTheoretical SEEmpirical SE

x / x_bar

Den

sity

−4 −2 0 2 4

0.0

0.5

1.0

1.5

2.0

●

sd/sqrt(n) = 0.22

standard deviation ofsample means = 0.21

# of means drawn = 168

Sample size (n) = 20

●●● ● ● ●● ●●●●●● ● ●●● ●●●

● Sample pointsPopulation DistributionSample meanTheoretical SEEmpirical SE

x / x_bar

Den

sity

−4 −2 0 2 4

0.0

0.5

1.0

1.5

2.0

●

sd/sqrt(n) = 0.22

standard deviation ofsample means = 0.21

# of means drawn = 169

Sample size (n) = 20

●● ●● ●● ●●● ●●● ● ●● ● ●● ●●

● Sample pointsPopulation DistributionSample meanTheoretical SEEmpirical SE

x / x_bar

Den

sity

−4 −2 0 2 4

0.0

0.5

1.0

1.5

2.0

●

sd/sqrt(n) = 0.22

standard deviation ofsample means = 0.21

# of means drawn = 170

Sample size (n) = 20

●● ● ●● ●●● ● ● ●● ● ●● ●●● ●●

● Sample pointsPopulation DistributionSample meanTheoretical SEEmpirical SE

x / x_bar

Den

sity

−4 −2 0 2 4

0.0

0.5

1.0

1.5

2.0

●

sd/sqrt(n) = 0.22

standard deviation ofsample means = 0.21

# of means drawn = 171

Sample size (n) = 20

●● ●● ● ● ●●●●● ●●● ●● ●● ●●

● Sample pointsPopulation DistributionSample meanTheoretical SEEmpirical SE

x / x_bar

Den

sity

−4 −2 0 2 4

0.0

0.5

1.0

1.5

2.0

●

sd/sqrt(n) = 0.22

standard deviation ofsample means = 0.21

# of means drawn = 172

Sample size (n) = 20

● ● ●●●● ● ● ●● ●● ●●●● ●●●●

● Sample pointsPopulation DistributionSample meanTheoretical SEEmpirical SE

x / x_bar

Den

sity

−4 −2 0 2 4

0.0

0.5

1.0

1.5

2.0

●

sd/sqrt(n) = 0.22

standard deviation ofsample means = 0.21

# of means drawn = 173

Sample size (n) = 20

●●●● ●● ●● ● ●●● ● ●●● ●●●●

● Sample pointsPopulation DistributionSample meanTheoretical SEEmpirical SE

x / x_bar

Den

sity

−4 −2 0 2 4

0.0

0.5

1.0

1.5

2.0

●

sd/sqrt(n) = 0.22

standard deviation ofsample means = 0.21

# of means drawn = 174

Sample size (n) = 20

● ●● ●● ●●● ●●●● ●● ● ●● ●●●

● Sample pointsPopulation DistributionSample meanTheoretical SEEmpirical SE

x / x_bar

Den

sity

−4 −2 0 2 4

0.0

0.5

1.0

1.5

2.0

●

sd/sqrt(n) = 0.22

standard deviation ofsample means = 0.21

# of means drawn = 175

Sample size (n) = 20

● ●● ● ● ●●● ● ●● ●●● ●●● ●● ●

● Sample pointsPopulation DistributionSample meanTheoretical SEEmpirical SE

x / x_bar

Den

sity

−4 −2 0 2 4

0.0

0.5

1.0

1.5

2.0

●

sd/sqrt(n) = 0.22

standard deviation ofsample means = 0.21

# of means drawn = 176

Sample size (n) = 20

●● ● ●●● ● ●●●● ●● ●● ●● ● ●●

● Sample pointsPopulation DistributionSample meanTheoretical SEEmpirical SE

x / x_bar

Den

sity

−4 −2 0 2 4

0.0

0.5

1.0

1.5

2.0

●

sd/sqrt(n) = 0.22

standard deviation ofsample means = 0.21

# of means drawn = 177

Sample size (n) = 20

● ●●●● ● ● ●● ●●● ●●● ● ●● ●●

● Sample pointsPopulation DistributionSample meanTheoretical SEEmpirical SE

x / x_bar

Den

sity

−4 −2 0 2 4

0.0

0.5

1.0

1.5

2.0

●

sd/sqrt(n) = 0.22

standard deviation ofsample means = 0.21

# of means drawn = 178

Sample size (n) = 20

● ●● ●●● ●● ●●● ●●● ●● ●● ●●

● Sample pointsPopulation DistributionSample meanTheoretical SEEmpirical SE

x / x_bar

Den

sity

−4 −2 0 2 4

0.0

0.5

1.0

1.5

2.0

●

sd/sqrt(n) = 0.22

standard deviation ofsample means = 0.21

# of means drawn = 179

Sample size (n) = 20

●●● ● ● ● ● ●●● ●● ●● ●● ●● ● ●

● Sample pointsPopulation DistributionSample meanTheoretical SEEmpirical SE

x / x_bar

Den

sity

−4 −2 0 2 4

0.0

0.5

1.0

1.5

2.0

●

sd/sqrt(n) = 0.22

standard deviation ofsample means = 0.21

# of means drawn = 180

Sample size (n) = 20

●● ●● ●●●●● ●●● ● ●● ● ●●● ●

● Sample pointsPopulation DistributionSample meanTheoretical SEEmpirical SE

x / x_bar

Den

sity

−4 −2 0 2 4

0.0

0.5

1.0

1.5

2.0

●

sd/sqrt(n) = 0.22

standard deviation ofsample means = 0.21

# of means drawn = 181

Sample size (n) = 20

●● ●● ●●● ●● ●● ●●● ● ● ● ●●●

● Sample pointsPopulation DistributionSample meanTheoretical SEEmpirical SE

x / x_bar

Den

sity

−4 −2 0 2 4

0.0

0.5

1.0

1.5

2.0

●

sd/sqrt(n) = 0.22

standard deviation ofsample means = 0.21

# of means drawn = 182

Sample size (n) = 20

● ●● ● ●●● ●●●●● ● ●●●● ●●●

● Sample pointsPopulation DistributionSample meanTheoretical SEEmpirical SE

x / x_bar

Den

sity

−4 −2 0 2 4

0.0

0.5

1.0

1.5

2.0

●

sd/sqrt(n) = 0.22

standard deviation ofsample means = 0.21

# of means drawn = 183

Sample size (n) = 20

● ●●● ● ● ●●●● ●●●●● ● ●●●●

● Sample pointsPopulation DistributionSample meanTheoretical SEEmpirical SE

x / x_bar

Den

sity

−4 −2 0 2 4

0.0

0.5

1.0

1.5

2.0

●

sd/sqrt(n) = 0.22

standard deviation ofsample means = 0.21

# of means drawn = 184

Sample size (n) = 20

●●● ●●●● ● ●●●● ●● ●● ●● ●●

● Sample pointsPopulation DistributionSample meanTheoretical SEEmpirical SE

x / x_bar

Den

sity

−4 −2 0 2 4

0.0

0.5

1.0

1.5

2.0

●

sd/sqrt(n) = 0.22

standard deviation ofsample means = 0.21

# of means drawn = 185

Sample size (n) = 20

●● ●●●● ●● ●● ●● ● ●●●● ●●●

● Sample pointsPopulation DistributionSample meanTheoretical SEEmpirical SE

x / x_bar

Den

sity

−4 −2 0 2 4

0.0

0.5

1.0

1.5

2.0

●

sd/sqrt(n) = 0.22

standard deviation ofsample means = 0.21

# of means drawn = 186

Sample size (n) = 20

● ●●● ●●● ● ●● ●● ●● ● ●● ●● ●

● Sample pointsPopulation DistributionSample meanTheoretical SEEmpirical SE

x / x_bar

Den

sity

−4 −2 0 2 4

0.0

0.5

1.0

1.5

2.0

●

sd/sqrt(n) = 0.22

standard deviation ofsample means = 0.21

# of means drawn = 187

Sample size (n) = 20

●● ●●● ●●● ●● ● ●● ●●● ● ●● ●

● Sample pointsPopulation DistributionSample meanTheoretical SEEmpirical SE

x / x_bar

Den

sity

−4 −2 0 2 4

0.0

0.5

1.0

1.5

2.0

●

sd/sqrt(n) = 0.22

standard deviation ofsample means = 0.21

# of means drawn = 188

Sample size (n) = 20

●●● ● ●● ●●● ●●● ●● ●●●●● ●

● Sample pointsPopulation DistributionSample meanTheoretical SEEmpirical SE

x / x_bar

Den

sity

−4 −2 0 2 4

0.0

0.5

1.0

1.5

2.0

●

sd/sqrt(n) = 0.22

standard deviation ofsample means = 0.21

# of means drawn = 189

Sample size (n) = 20

●● ●● ● ●●●●● ●● ●●● ● ●● ● ●

● Sample pointsPopulation DistributionSample meanTheoretical SEEmpirical SE

x / x_bar

Den

sity

−4 −2 0 2 4

0.0

0.5

1.0

1.5

2.0

●

sd/sqrt(n) = 0.22

standard deviation ofsample means = 0.21

# of means drawn = 190

Sample size (n) = 20

●● ●●● ●● ●●●●● ● ●●●●●● ●

● Sample pointsPopulation DistributionSample meanTheoretical SEEmpirical SE

x / x_bar

Den

sity

−4 −2 0 2 4

0.0

0.5

1.0

1.5

2.0

●

sd/sqrt(n) = 0.22

standard deviation ofsample means = 0.21

# of means drawn = 191

Sample size (n) = 20

●●● ● ●● ●●● ● ●● ●●● ●● ●●●

● Sample pointsPopulation DistributionSample meanTheoretical SEEmpirical SE

x / x_bar

Den

sity

−4 −2 0 2 4

0.0

0.5

1.0

1.5

2.0

●

sd/sqrt(n) = 0.22

standard deviation ofsample means = 0.21

# of means drawn = 192

Sample size (n) = 20

●●● ●● ●●●● ●● ●● ●●● ●● ●●

● Sample pointsPopulation DistributionSample meanTheoretical SEEmpirical SE

x / x_bar

Den

sity

−4 −2 0 2 4

0.0

0.5

1.0

1.5

2.0

●

sd/sqrt(n) = 0.22

standard deviation ofsample means = 0.21

# of means drawn = 193

Sample size (n) = 20

● ●●● ● ●●●●● ●● ● ●●● ● ●●●

● Sample pointsPopulation DistributionSample meanTheoretical SEEmpirical SE

x / x_bar

Den

sity

−4 −2 0 2 4

0.0

0.5

1.0

1.5

2.0

●

sd/sqrt(n) = 0.22

standard deviation ofsample means = 0.21

# of means drawn = 194

Sample size (n) = 20

●● ● ●●● ●●● ● ● ●● ● ●●● ● ●●

● Sample pointsPopulation DistributionSample meanTheoretical SEEmpirical SE

x / x_bar

Den

sity

−4 −2 0 2 4

0.0

0.5

1.0

1.5

2.0

●

sd/sqrt(n) = 0.22

standard deviation ofsample means = 0.21

# of means drawn = 195

Sample size (n) = 20

● ●●● ●●● ●●● ●●●●● ● ●●● ●

● Sample pointsPopulation DistributionSample meanTheoretical SEEmpirical SE

x / x_bar

Den

sity

−4 −2 0 2 4

0.0

0.5

1.0

1.5

2.0

●

sd/sqrt(n) = 0.22

standard deviation ofsample means = 0.21

# of means drawn = 196

Sample size (n) = 20

● ●● ●●● ● ●● ●●● ●●●● ● ●●●

● Sample pointsPopulation DistributionSample meanTheoretical SEEmpirical SE

x / x_bar

Den

sity

−4 −2 0 2 4

0.0

0.5

1.0

1.5

2.0

●

sd/sqrt(n) = 0.22

standard deviation ofsample means = 0.21

# of means drawn = 197

Sample size (n) = 20

● ●●● ●●● ●●●● ●● ●●●● ●● ●

● Sample pointsPopulation DistributionSample meanTheoretical SEEmpirical SE

x / x_bar

Den

sity

−4 −2 0 2 4

0.0

0.5

1.0

1.5

2.0

●

sd/sqrt(n) = 0.22

standard deviation ofsample means = 0.21

# of means drawn = 198

Sample size (n) = 20

● ●●● ● ●● ●● ●● ●● ●●● ● ●● ●

● Sample pointsPopulation DistributionSample meanTheoretical SEEmpirical SE

x / x_bar

Den

sity

−4 −2 0 2 4

0.0

0.5

1.0

1.5

2.0

●

sd/sqrt(n) = 0.22

standard deviation ofsample means = 0.21

# of means drawn = 199

Sample size (n) = 20

●● ●● ● ●● ●● ● ●●● ●●● ●●●●

● Sample pointsPopulation DistributionSample meanTheoretical SEEmpirical SE

x / x_bar

Den

sity

−4 −2 0 2 4

0.0

0.5

1.0

1.5

2.0

●

sd/sqrt(n) = 0.22

standard deviation ofsample means = 0.21

# of means drawn = 200

Sample size (n) = 20

● ● ●●● ● ● ●● ●● ● ●●●● ●● ●●

● Sample pointsPopulation DistributionSample meanTheoretical SEEmpirical SE

x / x_bar

Den

sity

−4 −2 0 2 4

0.0

0.5

1.0

1.5

2.0

●

sd/sqrt(n) = 0.22

standard deviation ofsample means = 0.21

# of means drawn = 201

Sample size (n) = 20

● ●● ●● ● ●●● ●●●● ●● ● ●● ●●

● Sample pointsPopulation DistributionSample meanTheoretical SEEmpirical SE

x / x_bar

Den

sity

−4 −2 0 2 4

0.0

0.5

1.0

1.5

2.0

●

sd/sqrt(n) = 0.22

standard deviation ofsample means = 0.21

# of means drawn = 202

Sample size (n) = 20

● ●●●● ●● ●●● ●● ●● ● ● ●●● ●

● Sample pointsPopulation DistributionSample meanTheoretical SEEmpirical SE

x / x_bar

Den

sity

−4 −2 0 2 4

0.0

0.5

1.0

1.5

2.0

●

sd/sqrt(n) = 0.22

standard deviation ofsample means = 0.21

# of means drawn = 203

Sample size (n) = 20

●● ● ●●● ●● ● ●● ●●● ●●● ●● ●

● Sample pointsPopulation DistributionSample meanTheoretical SEEmpirical SE

x / x_bar

Den

sity

−4 −2 0 2 4

0.0

0.5

1.0

1.5

2.0

●

sd/sqrt(n) = 0.22

standard deviation ofsample means = 0.21

# of means drawn = 204

Sample size (n) = 20

●● ●● ●●●● ●● ●●● ●●● ●●●●

● Sample pointsPopulation DistributionSample meanTheoretical SEEmpirical SE

x / x_bar

Den

sity

−4 −2 0 2 4

0.0

0.5

1.0

1.5

2.0

●

sd/sqrt(n) = 0.22

standard deviation ofsample means = 0.21

# of means drawn = 205

Sample size (n) = 20

●● ●● ●● ●●●● ●●● ●●● ●● ●●

● Sample pointsPopulation DistributionSample meanTheoretical SEEmpirical SE

x / x_bar

Den

sity

−4 −2 0 2 4

0.0

0.5

1.0

1.5

2.0

●

sd/sqrt(n) = 0.22

standard deviation ofsample means = 0.21

# of means drawn = 206

Sample size (n) = 20

● ●● ●● ●●●●● ●●●●● ●● ●●●

● Sample pointsPopulation DistributionSample meanTheoretical SEEmpirical SE

x / x_bar

Den

sity

−4 −2 0 2 4

0.0

0.5

1.0

1.5

2.0

●

sd/sqrt(n) = 0.22

standard deviation ofsample means = 0.21

# of means drawn = 207

Sample size (n) = 20

●●● ●●● ● ●●● ●●● ●●●● ●● ●

● Sample pointsPopulation DistributionSample meanTheoretical SEEmpirical SE

x / x_bar

Den

sity

−4 −2 0 2 4

0.0

0.5

1.0

1.5

2.0

●

sd/sqrt(n) = 0.22

standard deviation ofsample means = 0.21

# of means drawn = 208

Sample size (n) = 20

●● ●● ● ●●● ●●● ●●● ●● ● ●● ●

● Sample pointsPopulation DistributionSample meanTheoretical SEEmpirical SE

x / x_bar

Den

sity

−4 −2 0 2 4

0.0

0.5

1.0

1.5

2.0

●

sd/sqrt(n) = 0.22

standard deviation ofsample means = 0.21

# of means drawn = 209

Sample size (n) = 20

● ●● ●●● ●● ●●● ●●● ●●●● ●●

● Sample pointsPopulation DistributionSample meanTheoretical SEEmpirical SE

x / x_bar

Den

sity

−4 −2 0 2 4

0.0

0.5

1.0

1.5

2.0

●

sd/sqrt(n) = 0.22

standard deviation ofsample means = 0.21

# of means drawn = 210

Sample size (n) = 20

● ● ●● ●● ●● ●●● ●● ●● ●●● ●●

● Sample pointsPopulation DistributionSample meanTheoretical SEEmpirical SE

x / x_bar

Den

sity

−4 −2 0 2 4

0.0

0.5

1.0

1.5

2.0

●

sd/sqrt(n) = 0.22

standard deviation ofsample means = 0.21

# of means drawn = 211

Sample size (n) = 20

●●● ●● ● ●● ●● ●●●● ●● ● ●● ●

● Sample pointsPopulation DistributionSample meanTheoretical SEEmpirical SE

x / x_bar

Den

sity

−4 −2 0 2 4

0.0

0.5

1.0

1.5

2.0

●

sd/sqrt(n) = 0.22

standard deviation ofsample means = 0.21

# of means drawn = 212

Sample size (n) = 20

●● ● ●●● ●● ●●● ●● ●● ●● ●●●

● Sample pointsPopulation DistributionSample meanTheoretical SEEmpirical SE

x / x_bar

Den

sity

−4 −2 0 2 4

0.0

0.5

1.0

1.5

2.0

●

sd/sqrt(n) = 0.22

standard deviation ofsample means = 0.21

# of means drawn = 213

Sample size (n) = 20

● ●●●● ●● ●● ● ● ●●●● ●● ●● ●

● Sample pointsPopulation DistributionSample meanTheoretical SEEmpirical SE

x / x_bar

Den

sity

−4 −2 0 2 4

0.0

0.5

1.0

1.5

2.0

●

sd/sqrt(n) = 0.22

standard deviation ofsample means = 0.21

# of means drawn = 214

Sample size (n) = 20

●●● ●●● ●● ●●●●●● ●● ● ● ● ●

● Sample pointsPopulation DistributionSample meanTheoretical SEEmpirical SE

x / x_bar

Den

sity

−4 −2 0 2 4

0.0

0.5

1.0

1.5

2.0

●

sd/sqrt(n) = 0.22

standard deviation ofsample means = 0.21

# of means drawn = 215

Sample size (n) = 20

●●●● ●●● ●●●●●● ●●●● ●● ●

● Sample pointsPopulation DistributionSample meanTheoretical SEEmpirical SE

x / x_bar

Den

sity

−4 −2 0 2 4

0.0

0.5

1.0

1.5

2.0

●

sd/sqrt(n) = 0.22

standard deviation ofsample means = 0.21

# of means drawn = 216

Sample size (n) = 20

●● ●●●● ●● ● ●●● ●●●● ● ●● ●

● Sample pointsPopulation DistributionSample meanTheoretical SEEmpirical SE

x / x_bar

Den

sity

−4 −2 0 2 4

0.0

0.5

1.0

1.5

2.0

●

sd/sqrt(n) = 0.22

standard deviation ofsample means = 0.21

# of means drawn = 217

Sample size (n) = 20

●● ●● ●●● ● ●● ●●● ● ●●● ●● ●

● Sample pointsPopulation DistributionSample meanTheoretical SEEmpirical SE

x / x_bar

Den

sity

−4 −2 0 2 4

0.0

0.5

1.0

1.5

2.0

●

sd/sqrt(n) = 0.22

standard deviation ofsample means = 0.21

# of means drawn = 218

Sample size (n) = 20

● ●● ●● ●● ● ●● ●●● ●● ●●● ●●

● Sample pointsPopulation DistributionSample meanTheoretical SEEmpirical SE

x / x_bar

Den

sity

−4 −2 0 2 4

0.0

0.5

1.0

1.5

2.0

●

sd/sqrt(n) = 0.22

standard deviation ofsample means = 0.21

# of means drawn = 219

Sample size (n) = 20

●●● ●● ●●● ●● ●●● ●●● ●● ●●

● Sample pointsPopulation DistributionSample meanTheoretical SEEmpirical SE

x / x_bar

Den

sity

−4 −2 0 2 4

0.0

0.5

1.0

1.5

2.0

●

sd/sqrt(n) = 0.22

standard deviation ofsample means = 0.21

# of means drawn = 220

Sample size (n) = 20

●● ●●●● ● ●●● ● ●● ●●●● ●●●

● Sample pointsPopulation DistributionSample meanTheoretical SEEmpirical SE

x / x_bar

Den

sity

−4 −2 0 2 4

0.0

0.5

1.0

1.5

2.0

●

sd/sqrt(n) = 0.22

standard deviation ofsample means = 0.21

# of means drawn = 221

Sample size (n) = 20

● ● ●●● ●● ● ● ●● ●●● ●●● ● ● ●

● Sample pointsPopulation DistributionSample meanTheoretical SEEmpirical SE

x / x_bar

Den

sity

−4 −2 0 2 4

0.0

0.5

1.0

1.5

2.0

●

sd/sqrt(n) = 0.22

standard deviation ofsample means = 0.21

# of means drawn = 222

Sample size (n) = 20

●● ●● ●● ●●●● ● ●●●●● ●● ●●

● Sample pointsPopulation DistributionSample meanTheoretical SEEmpirical SE

x / x_bar

Den

sity

−4 −2 0 2 4

0.0

0.5

1.0

1.5

2.0

●

sd/sqrt(n) = 0.22

standard deviation ofsample means = 0.21

# of means drawn = 223

Sample size (n) = 20

● ● ● ●● ●● ●● ● ● ●● ● ● ●●●●●

● Sample pointsPopulation DistributionSample meanTheoretical SEEmpirical SE

x / x_bar

Den

sity

−4 −2 0 2 4

0.0

0.5

1.0

1.5

2.0

●

sd/sqrt(n) = 0.22

standard deviation ofsample means = 0.22

# of means drawn = 224

Sample size (n) = 20

●●● ●● ● ●● ●● ●● ●● ●● ●● ●●

● Sample pointsPopulation DistributionSample meanTheoretical SEEmpirical SE

x / x_bar

Den

sity

−4 −2 0 2 4

0.0

0.5

1.0

1.5

2.0

●

sd/sqrt(n) = 0.22

standard deviation ofsample means = 0.22

# of means drawn = 225

Sample size (n) = 20

● ●● ●●● ●●●● ● ● ●●● ●● ●●●

● Sample pointsPopulation DistributionSample meanTheoretical SEEmpirical SE

x / x_bar

Den

sity

−4 −2 0 2 4

0.0

0.5

1.0

1.5

2.0

●

sd/sqrt(n) = 0.22

standard deviation ofsample means = 0.21

# of means drawn = 226

Sample size (n) = 20

● ● ●●● ●● ●●●● ● ●● ● ●● ● ●●

● Sample pointsPopulation DistributionSample meanTheoretical SEEmpirical SE

x / x_bar

Den

sity

−4 −2 0 2 4

0.0

0.5

1.0

1.5

2.0

●

sd/sqrt(n) = 0.22

standard deviation ofsample means = 0.21

# of means drawn = 227

Sample size (n) = 20

●● ● ●● ●●● ●● ●● ●●● ● ●● ●●

● Sample pointsPopulation DistributionSample meanTheoretical SEEmpirical SE

x / x_bar

Den

sity

−4 −2 0 2 4

0.0

0.5

1.0

1.5

2.0

●

sd/sqrt(n) = 0.22

standard deviation ofsample means = 0.21

# of means drawn = 228

Sample size (n) = 20

● ●●●● ● ●● ●● ●● ●●●●● ●● ●

● Sample pointsPopulation DistributionSample meanTheoretical SEEmpirical SE

x / x_bar

Den

sity

−4 −2 0 2 4

0.0

0.5

1.0

1.5

2.0

●

sd/sqrt(n) = 0.22

standard deviation ofsample means = 0.21

# of means drawn = 229

Sample size (n) = 20

● ● ●● ● ●●● ●● ● ●● ●●● ●● ● ●

● Sample pointsPopulation DistributionSample meanTheoretical SEEmpirical SE

x / x_bar

Den

sity

−4 −2 0 2 4

0.0

0.5

1.0

1.5

2.0

●

sd/sqrt(n) = 0.22

standard deviation ofsample means = 0.21

# of means drawn = 230

Sample size (n) = 20

●●● ●●● ● ●● ● ●● ●● ● ●● ●● ●

● Sample pointsPopulation DistributionSample meanTheoretical SEEmpirical SE

x / x_bar

Den

sity

−4 −2 0 2 4

0.0

0.5

1.0

1.5

2.0

●

sd/sqrt(n) = 0.22

standard deviation ofsample means = 0.21

# of means drawn = 231

Sample size (n) = 20

●●● ● ●● ● ● ● ●● ● ●●●● ●●●●

● Sample pointsPopulation DistributionSample meanTheoretical SEEmpirical SE

x / x_bar

Den

sity

−4 −2 0 2 4

0.0

0.5

1.0

1.5

2.0

●

sd/sqrt(n) = 0.22

standard deviation ofsample means = 0.21

# of means drawn = 232

Sample size (n) = 20

●● ●● ●●● ●●● ●● ●● ● ●● ●● ●

● Sample pointsPopulation DistributionSample meanTheoretical SEEmpirical SE

x / x_bar

Den

sity

−4 −2 0 2 4

0.0

0.5

1.0

1.5

2.0

●

sd/sqrt(n) = 0.22

standard deviation ofsample means = 0.21

# of means drawn = 233

Sample size (n) = 20

● ●● ●● ● ●●● ●● ●● ●●● ●● ●●

● Sample pointsPopulation DistributionSample meanTheoretical SEEmpirical SE

x / x_bar

Den

sity

−4 −2 0 2 4

0.0

0.5

1.0

1.5

2.0

●

sd/sqrt(n) = 0.22

standard deviation ofsample means = 0.21

# of means drawn = 234

Sample size (n) = 20

●●● ● ●●● ● ●●●● ●● ● ●● ●● ●

● Sample pointsPopulation DistributionSample meanTheoretical SEEmpirical SE

x / x_bar

Den

sity

−4 −2 0 2 4

0.0

0.5

1.0

1.5

2.0

●

sd/sqrt(n) = 0.22

standard deviation ofsample means = 0.21

# of means drawn = 235

Sample size (n) = 20

●●● ● ●● ●● ● ●●● ●●● ●● ● ● ●

● Sample pointsPopulation DistributionSample meanTheoretical SEEmpirical SE

x / x_bar

Den

sity

−4 −2 0 2 4

0.0

0.5

1.0

1.5

2.0

●

sd/sqrt(n) = 0.22

standard deviation ofsample means = 0.21

# of means drawn = 236

Sample size (n) = 20

●● ● ●●● ●● ●●● ●● ●● ●● ●● ●

● Sample pointsPopulation DistributionSample meanTheoretical SEEmpirical SE

x / x_bar

Den

sity

−4 −2 0 2 4

0.0

0.5

1.0

1.5

2.0

●

sd/sqrt(n) = 0.22

standard deviation ofsample means = 0.21

# of means drawn = 237

Sample size (n) = 20

● ● ● ●● ●● ●● ●● ●● ● ●● ●● ● ●

● Sample pointsPopulation DistributionSample meanTheoretical SEEmpirical SE

x / x_bar

Den

sity

−4 −2 0 2 4

0.0

0.5

1.0

1.5

2.0

●

sd/sqrt(n) = 0.22

standard deviation ofsample means = 0.21

# of means drawn = 238

Sample size (n) = 20

●● ●● ● ●●● ●● ● ● ●●● ●●● ● ●

● Sample pointsPopulation DistributionSample meanTheoretical SEEmpirical SE

x / x_bar

Den

sity

−4 −2 0 2 4

0.0

0.5

1.0

1.5

2.0

●

sd/sqrt(n) = 0.22

standard deviation ofsample means = 0.21

# of means drawn = 239

Sample size (n) = 20

●● ● ●● ●● ●●● ● ●● ●●●●● ●●

● Sample pointsPopulation DistributionSample meanTheoretical SEEmpirical SE

x / x_bar

Den

sity

−4 −2 0 2 4

0.0

0.5

1.0

1.5

2.0

●

sd/sqrt(n) = 0.22

standard deviation ofsample means = 0.21

# of means drawn = 240

Sample size (n) = 20

● ●● ● ● ● ●● ●●●● ●● ● ●● ●● ●

● Sample pointsPopulation DistributionSample meanTheoretical SEEmpirical SE

x / x_bar

Den

sity

−4 −2 0 2 4

0.0

0.5

1.0

1.5

2.0

●

sd/sqrt(n) = 0.22

standard deviation ofsample means = 0.21

# of means drawn = 241

Sample size (n) = 20

●● ●●●● ●●● ●●● ●●● ●● ● ●●

● Sample pointsPopulation DistributionSample meanTheoretical SEEmpirical SE

x / x_bar

Den

sity

−4 −2 0 2 4

0.0

0.5

1.0

1.5

2.0

●

sd/sqrt(n) = 0.22

standard deviation ofsample means = 0.21

# of means drawn = 242

Sample size (n) = 20

● ●● ●●● ● ●●● ● ●●●● ●●● ●●

● Sample pointsPopulation DistributionSample meanTheoretical SEEmpirical SE

x / x_bar

Den

sity

−4 −2 0 2 4

0.0

0.5

1.0

1.5

2.0

●

sd/sqrt(n) = 0.22

standard deviation ofsample means = 0.21

# of means drawn = 243

Sample size (n) = 20

●● ● ●●● ●● ●●● ● ●●●●● ●●●

● Sample pointsPopulation DistributionSample meanTheoretical SEEmpirical SE

x / x_bar

Den

sity

−4 −2 0 2 4

0.0

0.5

1.0

1.5

2.0

●

sd/sqrt(n) = 0.22

standard deviation ofsample means = 0.21

# of means drawn = 244

Sample size (n) = 20

●● ● ●● ●● ●● ●● ● ●● ●● ● ●●●

● Sample pointsPopulation DistributionSample meanTheoretical SEEmpirical SE

x / x_bar

Den

sity

−4 −2 0 2 4

0.0

0.5

1.0

1.5

2.0

●

sd/sqrt(n) = 0.22

standard deviation ofsample means = 0.21

# of means drawn = 245

Sample size (n) = 20

●● ●●● ● ●●● ●● ●● ●●● ●●● ●

● Sample pointsPopulation DistributionSample meanTheoretical SEEmpirical SE

x / x_bar

Den

sity

−4 −2 0 2 4

0.0

0.5

1.0

1.5

2.0

●

sd/sqrt(n) = 0.22

standard deviation ofsample means = 0.21

# of means drawn = 246

Sample size (n) = 20

● ●● ●● ●● ●● ●●●●● ● ●●● ● ●

● Sample pointsPopulation DistributionSample meanTheoretical SEEmpirical SE

x / x_bar

Den

sity

−4 −2 0 2 4

0.0

0.5

1.0

1.5

2.0

●

sd/sqrt(n) = 0.22

standard deviation ofsample means = 0.21

# of means drawn = 247

Sample size (n) = 20

●● ●●●● ●● ●●● ●●● ●● ●●● ●

● Sample pointsPopulation DistributionSample meanTheoretical SEEmpirical SE

x / x_bar

Den

sity

−4 −2 0 2 4

0.0

0.5

1.0

1.5

2.0

●

sd/sqrt(n) = 0.22

standard deviation ofsample means = 0.22

# of means drawn = 248

Sample size (n) = 20

● ●●● ● ●● ●● ● ●● ●● ●●●●●●

● Sample pointsPopulation DistributionSample meanTheoretical SEEmpirical SE

x / x_bar

Den

sity

−4 −2 0 2 4

0.0

0.5

1.0

1.5

2.0

●

sd/sqrt(n) = 0.22

standard deviation ofsample means = 0.22

# of means drawn = 249

Sample size (n) = 20

●● ● ●●● ●●● ●● ●●● ●● ●● ●●

● Sample pointsPopulation DistributionSample meanTheoretical SEEmpirical SE

x / x_bar

Den

sity

−4 −2 0 2 4

0.0

0.5

1.0

1.5

2.0

●

sd/sqrt(n) = 0.22

standard deviation ofsample means = 0.22

# of means drawn = 250

Sample size (n) = 20

●● ● ● ●●●●● ●● ● ●●● ● ●● ●●

● Sample pointsPopulation DistributionSample meanTheoretical SEEmpirical SE

x / x_bar

Den

sity

−4 −2 0 2 4

0.0

0.5

1.0

1.5

2.0

●

sd/sqrt(n) = 0.22

standard deviation ofsample means = 0.22

# of means drawn = 251

Sample size (n) = 20

●● ●●● ● ● ●●● ●●●● ● ●● ●●●

● Sample pointsPopulation DistributionSample meanTheoretical SEEmpirical SE

x / x_bar

Den

sity

−4 −2 0 2 4

0.0

0.5

1.0

1.5

2.0

●

sd/sqrt(n) = 0.22

standard deviation ofsample means = 0.22

# of means drawn = 252

Sample size (n) = 20

● ● ●● ●● ●●●●●● ●● ●●● ● ●●

● Sample pointsPopulation DistributionSample meanTheoretical SEEmpirical SE

x / x_bar

Den

sity

−4 −2 0 2 4

0.0

0.5

1.0

1.5

2.0

●

sd/sqrt(n) = 0.22

standard deviation ofsample means = 0.22

# of means drawn = 253

Sample size (n) = 20

● ●●● ●●● ● ● ● ●● ●●● ●●●● ●

● Sample pointsPopulation DistributionSample meanTheoretical SEEmpirical SE

x / x_bar

Den

sity

−4 −2 0 2 4

0.0

0.5

1.0

1.5

2.0

●

sd/sqrt(n) = 0.22

standard deviation ofsample means = 0.22

# of means drawn = 254

Sample size (n) = 20

●● ●●●● ● ●●●● ●● ●● ●●● ●●

● Sample pointsPopulation DistributionSample meanTheoretical SEEmpirical SE

x / x_bar

Den

sity

−4 −2 0 2 4

0.0

0.5

1.0

1.5

2.0

●

sd/sqrt(n) = 0.22

standard deviation ofsample means = 0.22

# of means drawn = 255

Sample size (n) = 20

●● ● ●● ● ●●● ●● ●● ●● ●● ●● ●

● Sample pointsPopulation DistributionSample meanTheoretical SEEmpirical SE

x / x_bar

Den

sity

−4 −2 0 2 4

0.0

0.5

1.0

1.5

2.0

●

sd/sqrt(n) = 0.22

standard deviation ofsample means = 0.22

# of means drawn = 256

Sample size (n) = 20

● ●●● ●● ●●●● ●● ●● ● ●●● ● ●

● Sample pointsPopulation DistributionSample meanTheoretical SEEmpirical SE

x / x_bar

Den

sity

−4 −2 0 2 4

0.0

0.5

1.0

1.5

2.0

●

sd/sqrt(n) = 0.22

standard deviation ofsample means = 0.22

# of means drawn = 257

Sample size (n) = 20

●●● ● ●● ●●● ●●● ●●● ●● ●●●

● Sample pointsPopulation DistributionSample meanTheoretical SEEmpirical SE

x / x_bar

Den

sity

−4 −2 0 2 4

0.0

0.5

1.0

1.5

2.0

●

sd/sqrt(n) = 0.22

standard deviation ofsample means = 0.22

# of means drawn = 258

Sample size (n) = 20

●●● ● ●●●● ●● ●● ●●● ● ● ●●●

● Sample pointsPopulation DistributionSample meanTheoretical SEEmpirical SE

x / x_bar

Den

sity

−4 −2 0 2 4

0.0

0.5

1.0

1.5

2.0

●

sd/sqrt(n) = 0.22

standard deviation ofsample means = 0.22

# of means drawn = 259

Sample size (n) = 20

●● ●● ●● ●● ●● ●● ● ●●● ●● ●●

● Sample pointsPopulation DistributionSample meanTheoretical SEEmpirical SE

x / x_bar

Den

sity

−4 −2 0 2 4

0.0

0.5

1.0

1.5

2.0

●

sd/sqrt(n) = 0.22

standard deviation ofsample means = 0.22

# of means drawn = 260

Sample size (n) = 20

● ● ● ●● ●●●●●● ● ● ●● ●● ●● ●

● Sample pointsPopulation DistributionSample meanTheoretical SEEmpirical SE

x / x_bar

Den

sity

−4 −2 0 2 4

0.0

0.5

1.0

1.5

2.0

●

sd/sqrt(n) = 0.22

standard deviation ofsample means = 0.22

# of means drawn = 261

Sample size (n) = 20

● ●● ● ●●● ●●● ●● ● ●● ●● ●● ●

● Sample pointsPopulation DistributionSample meanTheoretical SEEmpirical SE

x / x_bar

Den

sity

−4 −2 0 2 4

0.0

0.5

1.0

1.5

2.0

●

sd/sqrt(n) = 0.22

standard deviation ofsample means = 0.22

# of means drawn = 262

Sample size (n) = 20

●● ●● ●● ●●● ● ●● ●● ●●●● ●●

● Sample pointsPopulation DistributionSample meanTheoretical SEEmpirical SE

x / x_bar

Den

sity

−4 −2 0 2 4

0.0

0.5

1.0

1.5

2.0

●

sd/sqrt(n) = 0.22

standard deviation ofsample means = 0.22

# of means drawn = 263

Sample size (n) = 20

●●●● ●● ● ●●● ●● ● ●●● ●●●●

● Sample pointsPopulation DistributionSample meanTheoretical SEEmpirical SE

x / x_bar

Den

sity

−4 −2 0 2 4

0.0

0.5

1.0

1.5

2.0

●

sd/sqrt(n) = 0.22

standard deviation ofsample means = 0.22

# of means drawn = 264

Sample size (n) = 20

●● ●● ●● ●● ●●● ●●● ● ●●●● ●

● Sample pointsPopulation DistributionSample meanTheoretical SEEmpirical SE

x / x_bar

Den

sity

−4 −2 0 2 4

0.0

0.5

1.0

1.5

2.0

●

sd/sqrt(n) = 0.22

standard deviation ofsample means = 0.22

# of means drawn = 265

Sample size (n) = 20

●● ●● ●●● ●● ●●● ● ●●● ●● ● ●

● Sample pointsPopulation DistributionSample meanTheoretical SEEmpirical SE

x / x_bar

Den

sity

−4 −2 0 2 4

0.0

0.5

1.0

1.5

2.0

●

sd/sqrt(n) = 0.22

standard deviation ofsample means = 0.22

# of means drawn = 266

Sample size (n) = 20

● ●● ●● ● ● ●●●●● ● ●●● ●● ● ●

● Sample pointsPopulation DistributionSample meanTheoretical SEEmpirical SE

x / x_bar

Den

sity

−4 −2 0 2 4

0.0

0.5

1.0

1.5

2.0

●

sd/sqrt(n) = 0.22

standard deviation ofsample means = 0.22

# of means drawn = 267

Sample size (n) = 20

●● ●●●● ●●● ●●● ●●● ● ●● ●●

● Sample pointsPopulation DistributionSample meanTheoretical SEEmpirical SE

x / x_bar

Den

sity

−4 −2 0 2 4

0.0

0.5

1.0

1.5

2.0

●

sd/sqrt(n) = 0.22

standard deviation ofsample means = 0.22

# of means drawn = 268

Sample size (n) = 20

●● ●●● ●● ●● ●●●●● ●● ●● ●●

● Sample pointsPopulation DistributionSample meanTheoretical SEEmpirical SE

x / x_bar

Den

sity

−4 −2 0 2 4

0.0

0.5

1.0

1.5

2.0

●

sd/sqrt(n) = 0.22

standard deviation ofsample means = 0.22

# of means drawn = 269

Sample size (n) = 20

●●● ● ●● ●● ●● ●● ●● ● ●● ●●●

● Sample pointsPopulation DistributionSample meanTheoretical SEEmpirical SE

x / x_bar

Den

sity

−4 −2 0 2 4

0.0

0.5

1.0

1.5

2.0

●

sd/sqrt(n) = 0.22

standard deviation ofsample means = 0.22

# of means drawn = 270

Sample size (n) = 20

● ●●● ●●●● ● ●●●● ●●●● ● ●●

● Sample pointsPopulation DistributionSample meanTheoretical SEEmpirical SE

x / x_bar

Den

sity

−4 −2 0 2 4

0.0

0.5

1.0

1.5

2.0

●

sd/sqrt(n) = 0.22

standard deviation ofsample means = 0.22

# of means drawn = 271

Sample size (n) = 20

● ●● ●● ● ●● ● ● ●●● ● ●● ●●● ●

● Sample pointsPopulation DistributionSample meanTheoretical SEEmpirical SE

x / x_bar

Den

sity

−4 −2 0 2 4

0.0

0.5

1.0

1.5

2.0

●

sd/sqrt(n) = 0.22

standard deviation ofsample means = 0.22

# of means drawn = 272

Sample size (n) = 20

●●● ● ●●● ●● ●●● ●●●●●● ●●

● Sample pointsPopulation DistributionSample meanTheoretical SEEmpirical SE

x / x_bar

Den

sity

−4 −2 0 2 4

0.0

0.5

1.0

1.5

2.0

●

sd/sqrt(n) = 0.22

standard deviation ofsample means = 0.22

# of means drawn = 273

Sample size (n) = 20

●●● ●●● ●●● ● ●● ● ● ●● ●●●●

● Sample pointsPopulation DistributionSample meanTheoretical SEEmpirical SE

x / x_bar

Den

sity

−4 −2 0 2 4

0.0

0.5

1.0

1.5

2.0

●

sd/sqrt(n) = 0.22

standard deviation ofsample means = 0.22

# of means drawn = 274

Sample size (n) = 20

● ●● ●●●●● ● ●●●● ● ● ●●● ● ●

● Sample pointsPopulation DistributionSample meanTheoretical SEEmpirical SE

x / x_bar

Den

sity

−4 −2 0 2 4

0.0

0.5

1.0

1.5

2.0

●

sd/sqrt(n) = 0.22

standard deviation ofsample means = 0.22

# of means drawn = 275

Sample size (n) = 20

●● ● ●● ●● ●●●●●●● ●● ●●●●

● Sample pointsPopulation DistributionSample meanTheoretical SEEmpirical SE

x / x_bar

Den

sity

−4 −2 0 2 4

0.0

0.5

1.0

1.5

2.0

●

sd/sqrt(n) = 0.22

standard deviation ofsample means = 0.22

# of means drawn = 276

Sample size (n) = 20

● ●●● ● ●● ● ●●● ●●● ●●● ●●●

● Sample pointsPopulation DistributionSample meanTheoretical SEEmpirical SE

x / x_bar

Den

sity

−4 −2 0 2 4

0.0

0.5

1.0

1.5

2.0

●

sd/sqrt(n) = 0.22

standard deviation ofsample means = 0.22

# of means drawn = 277

Sample size (n) = 20

● ●● ●● ●● ● ●● ●●● ●●● ● ●●●

● Sample pointsPopulation DistributionSample meanTheoretical SEEmpirical SE

x / x_bar

Den

sity

−4 −2 0 2 4

0.0

0.5

1.0

1.5

2.0

●

sd/sqrt(n) = 0.22

standard deviation ofsample means = 0.22

# of means drawn = 278

Sample size (n) = 20

● ●●●● ●● ●●●● ●● ●● ●● ●●●

● Sample pointsPopulation DistributionSample meanTheoretical SEEmpirical SE

x / x_bar

Den

sity

−4 −2 0 2 4

0.0

0.5

1.0

1.5

2.0

●

sd/sqrt(n) = 0.22

standard deviation ofsample means = 0.22

# of means drawn = 279

Sample size (n) = 20

●●●● ●●● ●● ●●●●● ● ● ●● ● ●

● Sample pointsPopulation DistributionSample meanTheoretical SEEmpirical SE

x / x_bar

Den

sity

−4 −2 0 2 4

0.0

0.5

1.0

1.5

2.0

●

sd/sqrt(n) = 0.22

standard deviation ofsample means = 0.22

# of means drawn = 280

Sample size (n) = 20

●● ●●●● ●●●●●●● ● ●●● ●●●

● Sample pointsPopulation DistributionSample meanTheoretical SEEmpirical SE

x / x_bar

Den

sity

−4 −2 0 2 4

0.0

0.5

1.0

1.5

2.0

●

sd/sqrt(n) = 0.22

standard deviation ofsample means = 0.22

# of means drawn = 281

Sample size (n) = 20

● ●● ●● ●●●●● ●● ● ●● ● ●● ● ●

● Sample pointsPopulation DistributionSample meanTheoretical SEEmpirical SE

x / x_bar

Den

sity

−4 −2 0 2 4

0.0

0.5

1.0

1.5

2.0

●

sd/sqrt(n) = 0.22

standard deviation ofsample means = 0.22

# of means drawn = 282

Sample size (n) = 20

●●● ●●●●●● ● ●●● ●●●●● ● ●

● Sample pointsPopulation DistributionSample meanTheoretical SEEmpirical SE

x / x_bar

Den

sity

−4 −2 0 2 4

0.0

0.5

1.0

1.5

2.0

●

sd/sqrt(n) = 0.22

standard deviation ofsample means = 0.22

# of means drawn = 283

Sample size (n) = 20

●● ●●●● ●● ●● ●●● ●●● ● ●● ●

● Sample pointsPopulation DistributionSample meanTheoretical SEEmpirical SE

x / x_bar

Den

sity

−4 −2 0 2 4

0.0

0.5

1.0

1.5

2.0

●

sd/sqrt(n) = 0.22

standard deviation ofsample means = 0.22

# of means drawn = 284

Sample size (n) = 20

●●● ●● ●● ● ●● ●●● ● ●●● ●●●

● Sample pointsPopulation DistributionSample meanTheoretical SEEmpirical SE

x / x_bar

Den

sity

−4 −2 0 2 4

0.0

0.5

1.0

1.5

2.0

●

sd/sqrt(n) = 0.22

standard deviation ofsample means = 0.22

# of means drawn = 285

Sample size (n) = 20

●●● ● ●● ●●●● ●●● ●● ● ●● ●●

● Sample pointsPopulation DistributionSample meanTheoretical SEEmpirical SE

x / x_bar

Den

sity

−4 −2 0 2 4

0.0

0.5

1.0

1.5

2.0

●

sd/sqrt(n) = 0.22

standard deviation ofsample means = 0.22

# of means drawn = 286

Sample size (n) = 20

● ●●● ● ●● ●● ●● ●● ●● ●● ● ●●

● Sample pointsPopulation DistributionSample meanTheoretical SEEmpirical SE

x / x_bar

Den

sity

−4 −2 0 2 4

0.0

0.5

1.0

1.5

2.0

●

sd/sqrt(n) = 0.22

standard deviation ofsample means = 0.22

# of means drawn = 287

Sample size (n) = 20

● ●●● ● ●● ●●●● ●● ●● ●● ●●●

● Sample pointsPopulation DistributionSample meanTheoretical SEEmpirical SE

x / x_bar

Den

sity

−4 −2 0 2 4

0.0

0.5

1.0

1.5

2.0

●

sd/sqrt(n) = 0.22

standard deviation ofsample means = 0.22

# of means drawn = 288

Sample size (n) = 20

● ●● ●●●●●● ●●● ● ● ●● ● ●● ●

● Sample pointsPopulation DistributionSample meanTheoretical SEEmpirical SE

x / x_bar

Den

sity

−4 −2 0 2 4

0.0

0.5

1.0

1.5

2.0

●

sd/sqrt(n) = 0.22

standard deviation ofsample means = 0.22

# of means drawn = 289

Sample size (n) = 20

●● ● ●●● ●●●● ●●● ●●●● ●●●

● Sample pointsPopulation DistributionSample meanTheoretical SEEmpirical SE

x / x_bar

Den

sity

−4 −2 0 2 4

0.0

0.5

1.0

1.5

2.0

●

sd/sqrt(n) = 0.22

standard deviation ofsample means = 0.22

# of means drawn = 290

Sample size (n) = 20

●●● ●● ●●●● ●●●● ● ●●●● ●●

● Sample pointsPopulation DistributionSample meanTheoretical SEEmpirical SE

x / x_bar

Den

sity

−4 −2 0 2 4

0.0

0.5

1.0

1.5

2.0

●

sd/sqrt(n) = 0.22

standard deviation ofsample means = 0.22

# of means drawn = 291

Sample size (n) = 20

●●● ● ●●● ●● ●●● ● ●● ●● ●●●

● Sample pointsPopulation DistributionSample meanTheoretical SEEmpirical SE

x / x_bar

Den

sity

−4 −2 0 2 4

0.0

0.5

1.0

1.5

2.0

●

sd/sqrt(n) = 0.22

standard deviation ofsample means = 0.22

# of means drawn = 292

Sample size (n) = 20

●● ●● ●● ●●●● ●● ●● ●●● ● ● ●

● Sample pointsPopulation DistributionSample meanTheoretical SEEmpirical SE

x / x_bar

Den

sity

−4 −2 0 2 4

0.0

0.5

1.0

1.5

2.0

●

sd/sqrt(n) = 0.22

standard deviation ofsample means = 0.22

# of means drawn = 293

Sample size (n) = 20

●● ● ●● ●●● ●● ● ●● ●● ● ●●●●

● Sample pointsPopulation DistributionSample meanTheoretical SEEmpirical SE

x / x_bar

Den

sity

−4 −2 0 2 4

0.0

0.5

1.0

1.5

2.0

●

sd/sqrt(n) = 0.22

standard deviation ofsample means = 0.22

# of means drawn = 294

Sample size (n) = 20

●●● ●●● ●● ●● ● ● ● ●●● ●●● ●

● Sample pointsPopulation DistributionSample meanTheoretical SEEmpirical SE

x / x_bar

Den

sity

−4 −2 0 2 4

0.0

0.5

1.0

1.5

2.0

●

sd/sqrt(n) = 0.22

standard deviation ofsample means = 0.22

# of means drawn = 295

Sample size (n) = 20

● ●●● ●● ●● ●●● ●● ● ● ●● ● ●●

● Sample pointsPopulation DistributionSample meanTheoretical SEEmpirical SE

x / x_bar

Den

sity

−4 −2 0 2 4

0.0

0.5

1.0

1.5

2.0

●

sd/sqrt(n) = 0.22

standard deviation ofsample means = 0.22

# of means drawn = 296

Sample size (n) = 20

●●● ●●●● ●● ● ●●●●● ●● ● ●●

● Sample pointsPopulation DistributionSample meanTheoretical SEEmpirical SE

x / x_bar

Den

sity

−4 −2 0 2 4

0.0

0.5

1.0

1.5

2.0

●

sd/sqrt(n) = 0.22

standard deviation ofsample means = 0.22

# of means drawn = 297

Sample size (n) = 20

●●● ● ●●● ●●●● ●● ●● ●●● ●●

● Sample pointsPopulation DistributionSample meanTheoretical SEEmpirical SE

x / x_bar

Den

sity

−4 −2 0 2 4

0.0

0.5

1.0

1.5

2.0

●

sd/sqrt(n) = 0.22

standard deviation ofsample means = 0.22

# of means drawn = 298

Sample size (n) = 20

● ●● ● ●● ●●●● ●● ● ●●●●● ●●

● Sample pointsPopulation DistributionSample meanTheoretical SEEmpirical SE

x / x_bar

Den

sity

−4 −2 0 2 4

0.0

0.5

1.0

1.5

2.0

●

sd/sqrt(n) = 0.22

standard deviation ofsample means = 0.22

# of means drawn = 299

Sample size (n) = 20

●● ● ● ●●● ● ●●●●● ●● ● ● ●● ●

● Sample pointsPopulation DistributionSample meanTheoretical SEEmpirical SE

x / x_bar

Den

sity

−4 −2 0 2 4

0.0

0.5

1.0

1.5

2.0

●

sd/sqrt(n) = 0.22

standard deviation ofsample means = 0.22

# of means drawn = 300

Sample size (n) = 20

● ●● ● ●● ●●● ●● ●●● ●● ●●● ●

● Sample pointsPopulation DistributionSample meanTheoretical SEEmpirical SE

x / x_bar

Den

sity

−4 −2 0 2 4

0.0

0.5

1.0

1.5

2.0

●

sd/sqrt(n) = 0.22

standard deviation ofsample means = 0.22

# of means drawn = 301

Sample size (n) = 20

● ●●● ● ●● ●●● ● ●●●● ●● ●●●

● Sample pointsPopulation DistributionSample meanTheoretical SEEmpirical SE

x / x_bar

Den

sity

−4 −2 0 2 4

0.0

0.5

1.0

1.5

2.0

●

sd/sqrt(n) = 0.22

standard deviation ofsample means = 0.22

# of means drawn = 302

Sample size (n) = 20

●● ●●● ●●● ●● ●● ●● ● ●●● ● ●

● Sample pointsPopulation DistributionSample meanTheoretical SEEmpirical SE

x / x_bar

Den

sity

−4 −2 0 2 4

0.0

0.5

1.0

1.5

2.0

●

sd/sqrt(n) = 0.22

standard deviation ofsample means = 0.22

# of means drawn = 303

Sample size (n) = 20

●●● ●●● ●● ●● ● ●● ● ●●●●●●

● Sample pointsPopulation DistributionSample meanTheoretical SEEmpirical SE

x / x_bar

Den

sity

−4 −2 0 2 4

0.0

0.5

1.0

1.5

2.0

●

sd/sqrt(n) = 0.22

standard deviation ofsample means = 0.22

# of means drawn = 304

Sample size (n) = 20

● ●● ●● ●● ●● ●● ●●● ●●● ●●●

● Sample pointsPopulation DistributionSample meanTheoretical SEEmpirical SE

x / x_bar

Den

sity

−4 −2 0 2 4

0.0

0.5

1.0

1.5

2.0

●

sd/sqrt(n) = 0.22

standard deviation ofsample means = 0.22

# of means drawn = 305

Sample size (n) = 20

●● ●● ●● ●●●● ●● ●● ●●● ●●●

● Sample pointsPopulation DistributionSample meanTheoretical SEEmpirical SE

x / x_bar

Den

sity

−4 −2 0 2 4

0.0

0.5

1.0

1.5

2.0

●

sd/sqrt(n) = 0.22

standard deviation ofsample means = 0.22

# of means drawn = 306

Sample size (n) = 20

●● ●● ●● ● ●●●● ●● ●● ●● ●● ●

● Sample pointsPopulation DistributionSample meanTheoretical SEEmpirical SE

x / x_bar

Den

sity

−4 −2 0 2 4

0.0

0.5

1.0

1.5

2.0

●

sd/sqrt(n) = 0.22

standard deviation ofsample means = 0.22

# of means drawn = 307

Sample size (n) = 20

●● ●● ●●●● ●●● ● ●● ● ●● ●●●

● Sample pointsPopulation DistributionSample meanTheoretical SEEmpirical SE

x / x_bar

Den

sity

−4 −2 0 2 4

0.0

0.5

1.0

1.5

2.0

●

sd/sqrt(n) = 0.22

standard deviation ofsample means = 0.22

# of means drawn = 308

Sample size (n) = 20

● ● ●●● ●● ●● ●● ● ●●● ●●● ●●

● Sample pointsPopulation DistributionSample meanTheoretical SEEmpirical SE

x / x_bar

Den

sity

−4 −2 0 2 4

0.0

0.5

1.0

1.5

2.0

●

sd/sqrt(n) = 0.22

standard deviation ofsample means = 0.23

# of means drawn = 309

Sample size (n) = 20

● ● ● ●● ● ●●● ●●● ●●● ●● ● ● ●

● Sample pointsPopulation DistributionSample meanTheoretical SEEmpirical SE

x / x_bar

Den

sity

−4 −2 0 2 4

0.0

0.5

1.0

1.5

2.0

●

sd/sqrt(n) = 0.22

standard deviation ofsample means = 0.23

# of means drawn = 310

Sample size (n) = 20

●● ●● ●●●●● ●●● ● ●● ●●●●●

● Sample pointsPopulation DistributionSample meanTheoretical SEEmpirical SE

x / x_bar

Den

sity

−4 −2 0 2 4

0.0

0.5

1.0

1.5

2.0

●

sd/sqrt(n) = 0.22

standard deviation ofsample means = 0.23

# of means drawn = 311

Sample size (n) = 20

● ●●●● ●●● ●●● ●● ●● ●● ●● ●

● Sample pointsPopulation DistributionSample meanTheoretical SEEmpirical SE

x / x_bar

Den

sity

−4 −2 0 2 4

0.0

0.5

1.0

1.5

2.0

●

sd/sqrt(n) = 0.22

standard deviation ofsample means = 0.23

# of means drawn = 312

Sample size (n) = 20

●● ● ●● ●● ●● ●● ●● ●●●● ● ●●

● Sample pointsPopulation DistributionSample meanTheoretical SEEmpirical SE

x / x_bar

Den

sity

−4 −2 0 2 4

0.0

0.5

1.0

1.5

2.0

●

sd/sqrt(n) = 0.22

standard deviation ofsample means = 0.23

# of means drawn = 313

Sample size (n) = 20

● ● ●●●● ● ●● ● ●● ●● ●●● ●●●

● Sample pointsPopulation DistributionSample meanTheoretical SEEmpirical SE

x / x_bar

Den

sity

−4 −2 0 2 4

0.0

0.5

1.0

1.5

2.0

●

sd/sqrt(n) = 0.22

standard deviation ofsample means = 0.23

# of means drawn = 314

Sample size (n) = 20

● ●●● ●●● ●● ●●● ●● ●●●● ● ●

● Sample pointsPopulation DistributionSample meanTheoretical SEEmpirical SE

x / x_bar

Den

sity

−4 −2 0 2 4

0.0

0.5

1.0

1.5

2.0

●

sd/sqrt(n) = 0.22

standard deviation ofsample means = 0.23

# of means drawn = 315

Sample size (n) = 20

●● ●● ●● ●●● ●●● ●●● ●● ●● ●

● Sample pointsPopulation DistributionSample meanTheoretical SEEmpirical SE

x / x_bar

Den

sity

−4 −2 0 2 4

0.0

0.5

1.0

1.5

2.0

●

sd/sqrt(n) = 0.22

standard deviation ofsample means = 0.23

# of means drawn = 316

Sample size (n) = 20

● ●●●●● ● ● ●●●●● ●● ●●● ●●

● Sample pointsPopulation DistributionSample meanTheoretical SEEmpirical SE

x / x_bar

Den

sity

−4 −2 0 2 4

0.0

0.5

1.0

1.5

2.0

●

sd/sqrt(n) = 0.22

standard deviation ofsample means = 0.23

# of means drawn = 317

Sample size (n) = 20

●● ● ●●●● ●● ●● ●● ●●● ●●● ●

● Sample pointsPopulation DistributionSample meanTheoretical SEEmpirical SE

x / x_bar

Den

sity

−4 −2 0 2 4

0.0

0.5

1.0

1.5

2.0

●

sd/sqrt(n) = 0.22

standard deviation ofsample means = 0.23

# of means drawn = 318

Sample size (n) = 20

●●● ●●● ● ●●●●● ● ●● ●● ● ●●

● Sample pointsPopulation DistributionSample meanTheoretical SEEmpirical SE

x / x_bar

Den

sity

−4 −2 0 2 4

0.0

0.5

1.0

1.5

2.0

●

sd/sqrt(n) = 0.22

standard deviation ofsample means = 0.23

# of means drawn = 319

Sample size (n) = 20

●● ●● ● ● ●●● ●● ● ●● ●●●● ●●

● Sample pointsPopulation DistributionSample meanTheoretical SEEmpirical SE

x / x_bar

Den

sity

−4 −2 0 2 4

0.0

0.5

1.0

1.5

2.0

●

sd/sqrt(n) = 0.22

standard deviation ofsample means = 0.23

# of means drawn = 320

Sample size (n) = 20

● ●● ●●●● ● ●●● ●●● ●● ● ●● ●

● Sample pointsPopulation DistributionSample meanTheoretical SEEmpirical SE

x / x_bar

Den

sity

−4 −2 0 2 4

0.0

0.5

1.0

1.5

2.0

●

sd/sqrt(n) = 0.22

standard deviation ofsample means = 0.23

# of means drawn = 321

Sample size (n) = 20

●● ●● ●●● ●●●●●●● ●●● ●●●

● Sample pointsPopulation DistributionSample meanTheoretical SEEmpirical SE

x / x_bar

Den

sity

−4 −2 0 2 4

0.0

0.5

1.0

1.5

2.0

●

sd/sqrt(n) = 0.22

standard deviation ofsample means = 0.22

# of means drawn = 322

Sample size (n) = 20

● ●● ●●●●● ●● ● ●● ●●●●● ●●

● Sample pointsPopulation DistributionSample meanTheoretical SEEmpirical SE

x / x_bar

Den

sity

−4 −2 0 2 4

0.0

0.5

1.0

1.5

2.0

●

sd/sqrt(n) = 0.22

standard deviation ofsample means = 0.22

# of means drawn = 323

Sample size (n) = 20

●● ● ●● ●● ● ●●●● ● ● ●●● ●●●

● Sample pointsPopulation DistributionSample meanTheoretical SEEmpirical SE

x / x_bar

Den

sity

−4 −2 0 2 4

0.0

0.5

1.0

1.5

2.0

●

sd/sqrt(n) = 0.22

standard deviation ofsample means = 0.22

# of means drawn = 324

Sample size (n) = 20

● ● ●● ● ●●● ● ●● ●●● ●● ● ●● ●

● Sample pointsPopulation DistributionSample meanTheoretical SEEmpirical SE

x / x_bar

Den

sity

−4 −2 0 2 4

0.0

0.5

1.0

1.5

2.0

●

sd/sqrt(n) = 0.22

standard deviation ofsample means = 0.22

# of means drawn = 325

Sample size (n) = 20

●●● ● ● ●● ●● ●●● ● ●●● ●●● ●

● Sample pointsPopulation DistributionSample meanTheoretical SEEmpirical SE

x / x_bar

Den

sity

−4 −2 0 2 4

0.0

0.5

1.0

1.5

2.0

●

sd/sqrt(n) = 0.22

standard deviation ofsample means = 0.22

# of means drawn = 326

Sample size (n) = 20

● ●●●● ●● ● ●●● ● ● ●●●● ●●●

● Sample pointsPopulation DistributionSample meanTheoretical SEEmpirical SE

x / x_bar

Den

sity

−4 −2 0 2 4

0.0

0.5

1.0

1.5

2.0

●

sd/sqrt(n) = 0.22

standard deviation ofsample means = 0.22

# of means drawn = 327

Sample size (n) = 20

● ● ●● ●● ●●● ●● ●● ●● ●● ●● ●

● Sample pointsPopulation DistributionSample meanTheoretical SEEmpirical SE

x / x_bar

Den

sity

−4 −2 0 2 4

0.0

0.5

1.0

1.5

2.0

●

sd/sqrt(n) = 0.22

standard deviation ofsample means = 0.23

# of means drawn = 328

Sample size (n) = 20

●● ● ● ●●●● ● ●●● ●● ●● ●●● ●

● Sample pointsPopulation DistributionSample meanTheoretical SEEmpirical SE

x / x_bar

Den

sity

−4 −2 0 2 4

0.0

0.5

1.0

1.5

2.0

●

sd/sqrt(n) = 0.22

standard deviation ofsample means = 0.23

# of means drawn = 329

Sample size (n) = 20

●●●● ●●●● ●●●●● ● ● ●● ●●●

● Sample pointsPopulation DistributionSample meanTheoretical SEEmpirical SE

x / x_bar

Den

sity

−4 −2 0 2 4

0.0

0.5

1.0

1.5

2.0

●

sd/sqrt(n) = 0.22

standard deviation ofsample means = 0.23

# of means drawn = 330

Sample size (n) = 20

●● ● ● ●● ● ●● ● ●● ● ●●● ●●●●

● Sample pointsPopulation DistributionSample meanTheoretical SEEmpirical SE

x / x_bar

Den

sity

−4 −2 0 2 4

0.0

0.5

1.0

1.5

2.0

●

sd/sqrt(n) = 0.22

standard deviation ofsample means = 0.23

# of means drawn = 331

Sample size (n) = 20

● ● ●● ●●●● ●●● ●●● ●●● ●● ●

● Sample pointsPopulation DistributionSample meanTheoretical SEEmpirical SE

x / x_bar

Den

sity

−4 −2 0 2 4

0.0

0.5

1.0

1.5

2.0

●

sd/sqrt(n) = 0.22

standard deviation ofsample means = 0.23

# of means drawn = 332

Sample size (n) = 20

●● ●● ● ●● ●● ●● ● ●● ●●● ● ●●

● Sample pointsPopulation DistributionSample meanTheoretical SEEmpirical SE

x / x_bar

Den

sity

−4 −2 0 2 4

0.0

0.5

1.0

1.5

2.0

●

sd/sqrt(n) = 0.22

standard deviation ofsample means = 0.23

# of means drawn = 333

Sample size (n) = 20

●● ●● ● ●●●● ●●● ●●● ● ●●●●

● Sample pointsPopulation DistributionSample meanTheoretical SEEmpirical SE

x / x_bar

Den

sity

−4 −2 0 2 4

0.0

0.5

1.0

1.5

2.0

●

sd/sqrt(n) = 0.22

standard deviation ofsample means = 0.23

# of means drawn = 334

Sample size (n) = 20

●●●● ● ●● ● ●● ●● ●● ●●●● ● ●

● Sample pointsPopulation DistributionSample meanTheoretical SEEmpirical SE

x / x_bar

Den

sity

−4 −2 0 2 4

0.0

0.5

1.0

1.5

2.0

●

sd/sqrt(n) = 0.22

standard deviation ofsample means = 0.23

# of means drawn = 335

Sample size (n) = 20

● ●●● ●●●●● ●● ●●●●● ●●● ●

● Sample pointsPopulation DistributionSample meanTheoretical SEEmpirical SE

x / x_bar

Den

sity

−4 −2 0 2 4

0.0

0.5

1.0

1.5

2.0

●

sd/sqrt(n) = 0.22

standard deviation ofsample means = 0.23

# of means drawn = 336

Sample size (n) = 20

● ●● ●● ●●● ●● ●● ●●● ● ●● ● ●

● Sample pointsPopulation DistributionSample meanTheoretical SEEmpirical SE

x / x_bar

Den

sity

−4 −2 0 2 4

0.0

0.5

1.0

1.5

2.0

●

sd/sqrt(n) = 0.22

standard deviation ofsample means = 0.23

# of means drawn = 337

Sample size (n) = 20

● ● ●● ●●● ● ● ●● ● ● ●● ● ●● ●●

● Sample pointsPopulation DistributionSample meanTheoretical SEEmpirical SE

x / x_bar

Den

sity

−4 −2 0 2 4

0.0

0.5

1.0

1.5

2.0

●

sd/sqrt(n) = 0.22

standard deviation ofsample means = 0.23

# of means drawn = 338

Sample size (n) = 20

● ●● ● ● ●●●●●● ● ●● ● ●● ●●●

● Sample pointsPopulation DistributionSample meanTheoretical SEEmpirical SE

x / x_bar

Den

sity

−4 −2 0 2 4

0.0

0.5

1.0

1.5

2.0

●

sd/sqrt(n) = 0.22

standard deviation ofsample means = 0.23

# of means drawn = 339

Sample size (n) = 20

● ● ●● ●● ●● ● ●●●● ●● ●● ●● ●

● Sample pointsPopulation DistributionSample meanTheoretical SEEmpirical SE

x / x_bar

Den

sity

−4 −2 0 2 4

0.0

0.5

1.0

1.5

2.0

●

sd/sqrt(n) = 0.22

standard deviation ofsample means = 0.23

# of means drawn = 340

Sample size (n) = 20

● ●●● ●●● ●● ●●● ●●● ●●●● ●

● Sample pointsPopulation DistributionSample meanTheoretical SEEmpirical SE

x / x_bar

Den

sity

−4 −2 0 2 4

0.0

0.5

1.0

1.5

2.0

●

sd/sqrt(n) = 0.22

standard deviation ofsample means = 0.23

# of means drawn = 341

Sample size (n) = 20

● ●●●● ●●● ● ●● ● ●● ●●● ● ● ●

● Sample pointsPopulation DistributionSample meanTheoretical SEEmpirical SE

x / x_bar

Den

sity

−4 −2 0 2 4

0.0

0.5

1.0

1.5

2.0

●

sd/sqrt(n) = 0.22

standard deviation ofsample means = 0.23

# of means drawn = 342

Sample size (n) = 20

● ●● ● ●●● ●●● ●●● ●● ● ● ●●●

● Sample pointsPopulation DistributionSample meanTheoretical SEEmpirical SE

x / x_bar

Den

sity

−4 −2 0 2 4

0.0

0.5

1.0

1.5

2.0

●

sd/sqrt(n) = 0.22

standard deviation ofsample means = 0.23

# of means drawn = 343

Sample size (n) = 20

●● ● ● ● ●● ●●●● ●● ● ●●● ● ●●

● Sample pointsPopulation DistributionSample meanTheoretical SEEmpirical SE

x / x_bar

Den

sity

−4 −2 0 2 4

0.0

0.5

1.0

1.5

2.0

●

sd/sqrt(n) = 0.22

standard deviation ofsample means = 0.23

# of means drawn = 344

Sample size (n) = 20

●● ●● ●●●● ● ●● ● ● ●● ●●● ●●

● Sample pointsPopulation DistributionSample meanTheoretical SEEmpirical SE

x / x_bar

Den

sity

−4 −2 0 2 4

0.0

0.5

1.0

1.5

2.0

●

sd/sqrt(n) = 0.22

standard deviation ofsample means = 0.23

# of means drawn = 345

Sample size (n) = 20

● ●● ● ●●●●● ●● ●●● ●●● ●●●

● Sample pointsPopulation DistributionSample meanTheoretical SEEmpirical SE

x / x_bar

Den

sity

−4 −2 0 2 4

0.0

0.5

1.0

1.5

2.0

●

sd/sqrt(n) = 0.22

standard deviation ofsample means = 0.23

# of means drawn = 346

Sample size (n) = 20

●●●● ● ● ●● ●● ●●● ●●● ●● ●●

● Sample pointsPopulation DistributionSample meanTheoretical SEEmpirical SE

x / x_bar

Den

sity

−4 −2 0 2 4

0.0

0.5

1.0

1.5

2.0

●

sd/sqrt(n) = 0.22

standard deviation ofsample means = 0.23

# of means drawn = 347

Sample size (n) = 20

● ●● ●● ●● ● ●● ●●● ● ●●● ●● ●

● Sample pointsPopulation DistributionSample meanTheoretical SEEmpirical SE

x / x_bar

Den

sity

−4 −2 0 2 4

0.0

0.5

1.0

1.5

2.0

●

sd/sqrt(n) = 0.22

standard deviation ofsample means = 0.23

# of means drawn = 348

Sample size (n) = 20

● ●●● ●● ●●● ● ●● ● ● ● ●●● ●●

● Sample pointsPopulation DistributionSample meanTheoretical SEEmpirical SE

x / x_bar

Den

sity

−4 −2 0 2 4

0.0

0.5

1.0

1.5

2.0

●

sd/sqrt(n) = 0.22

standard deviation ofsample means = 0.23

# of means drawn = 349

Sample size (n) = 20

● ●● ●●●● ●●● ●● ●● ●● ●● ● ●

● Sample pointsPopulation DistributionSample meanTheoretical SEEmpirical SE

x / x_bar

Den

sity

−4 −2 0 2 4

0.0

0.5

1.0

1.5

2.0

●

sd/sqrt(n) = 0.22

standard deviation ofsample means = 0.23

# of means drawn = 350

Sample size (n) = 20

● ●●●●● ●● ● ●● ● ●● ●● ● ●●●

● Sample pointsPopulation DistributionSample meanTheoretical SEEmpirical SE

x / x_bar

Den

sity

−4 −2 0 2 4

0.0

0.5

1.0

1.5

2.0

●

sd/sqrt(n) = 0.22

standard deviation ofsample means = 0.23

# of means drawn = 351

Sample size (n) = 20

●● ●● ●●● ● ● ●● ●● ●●● ● ●● ●

● Sample pointsPopulation DistributionSample meanTheoretical SEEmpirical SE

x / x_bar

Den

sity

−4 −2 0 2 4

0.0

0.5

1.0

1.5

2.0

●

sd/sqrt(n) = 0.22

standard deviation ofsample means = 0.23

# of means drawn = 352

Sample size (n) = 20

●● ●●● ● ●● ●● ●●● ●●● ●● ●●

● Sample pointsPopulation DistributionSample meanTheoretical SEEmpirical SE

x / x_bar

Den

sity

−4 −2 0 2 4

0.0

0.5

1.0

1.5

2.0

●

sd/sqrt(n) = 0.22

standard deviation ofsample means = 0.23

# of means drawn = 353

Sample size (n) = 20

● ● ● ●● ●● ●● ●●● ●● ●●● ●●●

● Sample pointsPopulation DistributionSample meanTheoretical SEEmpirical SE

x / x_bar

Den

sity

−4 −2 0 2 4

0.0

0.5

1.0

1.5

2.0

●

sd/sqrt(n) = 0.22

standard deviation ofsample means = 0.23

# of means drawn = 354

Sample size (n) = 20

● ● ● ●● ● ● ●● ● ●●●●● ●●● ● ●

● Sample pointsPopulation DistributionSample meanTheoretical SEEmpirical SE

x / x_bar

Den

sity

−4 −2 0 2 4

0.0

0.5

1.0

1.5

2.0

●

sd/sqrt(n) = 0.22

standard deviation ofsample means = 0.23

# of means drawn = 355

Sample size (n) = 20

●● ● ●● ●● ● ●●●● ● ● ●● ●●● ●

● Sample pointsPopulation DistributionSample meanTheoretical SEEmpirical SE

x / x_bar

Den

sity

−4 −2 0 2 4

0.0

0.5

1.0

1.5

2.0

●

sd/sqrt(n) = 0.22

standard deviation ofsample means = 0.23

# of means drawn = 356

Sample size (n) = 20

●● ●●● ● ●●●● ●●●●●●● ●●●

● Sample pointsPopulation DistributionSample meanTheoretical SEEmpirical SE

x / x_bar

Den

sity

−4 −2 0 2 4

0.0

0.5

1.0

1.5

2.0

●

sd/sqrt(n) = 0.22

standard deviation ofsample means = 0.23

# of means drawn = 357

Sample size (n) = 20

● ● ●●●● ● ● ●●● ●●● ●● ●●● ●

● Sample pointsPopulation DistributionSample meanTheoretical SEEmpirical SE

x / x_bar

Den

sity

−4 −2 0 2 4

0.0

0.5

1.0

1.5

2.0

●

sd/sqrt(n) = 0.22

standard deviation ofsample means = 0.23

# of means drawn = 358

Sample size (n) = 20

●●● ●● ● ● ● ●● ●● ● ●● ●●●● ●

● Sample pointsPopulation DistributionSample meanTheoretical SEEmpirical SE

x / x_bar

Den

sity

−4 −2 0 2 4

0.0

0.5

1.0

1.5

2.0

●

sd/sqrt(n) = 0.22

standard deviation ofsample means = 0.23

# of means drawn = 359

Sample size (n) = 20

● ●●●●●●●● ● ●●● ●● ●● ● ● ●

● Sample pointsPopulation DistributionSample meanTheoretical SEEmpirical SE

x / x_bar

Den

sity

−4 −2 0 2 4

0.0

0.5

1.0

1.5

2.0

●

sd/sqrt(n) = 0.22

standard deviation ofsample means = 0.23

# of means drawn = 360

Sample size (n) = 20

●● ●●● ● ●● ●●● ●● ●● ●●●●●

● Sample pointsPopulation DistributionSample meanTheoretical SEEmpirical SE

x / x_bar

Den

sity

−4 −2 0 2 4

0.0

0.5

1.0

1.5

2.0

●

sd/sqrt(n) = 0.22

standard deviation ofsample means = 0.23

# of means drawn = 361

Sample size (n) = 20

● ● ●●● ●● ●●● ●● ● ●● ●●● ●●

● Sample pointsPopulation DistributionSample meanTheoretical SEEmpirical SE

x / x_bar

Den

sity

−4 −2 0 2 4

0.0

0.5

1.0

1.5

2.0

●

sd/sqrt(n) = 0.22

standard deviation ofsample means = 0.23

# of means drawn = 362

Sample size (n) = 20

●● ● ●●● ● ●● ●●● ●●● ●● ● ●●

● Sample pointsPopulation DistributionSample meanTheoretical SEEmpirical SE

x / x_bar

Den

sity

−4 −2 0 2 4

0.0

0.5

1.0

1.5

2.0

●

sd/sqrt(n) = 0.22

standard deviation ofsample means = 0.23

# of means drawn = 363

Sample size (n) = 20

●● ●● ●● ●● ● ● ●● ●● ●●● ● ●●

● Sample pointsPopulation DistributionSample meanTheoretical SEEmpirical SE

x / x_bar

Den

sity

−4 −2 0 2 4

0.0

0.5

1.0

1.5

2.0

●

sd/sqrt(n) = 0.22

standard deviation ofsample means = 0.23

# of means drawn = 364

Sample size (n) = 20

● ● ●● ● ●●● ●●● ●● ● ●●●● ●●

● Sample pointsPopulation DistributionSample meanTheoretical SEEmpirical SE

x / x_bar

Den

sity

−4 −2 0 2 4

0.0

0.5

1.0

1.5

2.0

●

sd/sqrt(n) = 0.22

standard deviation ofsample means = 0.23

# of means drawn = 365

Sample size (n) = 20

● ●● ●● ●● ●● ●● ●● ● ●● ●● ●●

● Sample pointsPopulation DistributionSample meanTheoretical SEEmpirical SE

x / x_bar

Den

sity

−4 −2 0 2 4

0.0

0.5

1.0

1.5

2.0

●

sd/sqrt(n) = 0.22

standard deviation ofsample means = 0.23

# of means drawn = 366

Sample size (n) = 20

●● ●● ●● ●●●●●● ●●● ● ●●●●

● Sample pointsPopulation DistributionSample meanTheoretical SEEmpirical SE

x / x_bar

Den

sity

−4 −2 0 2 4

0.0

0.5

1.0

1.5

2.0

●

sd/sqrt(n) = 0.22

standard deviation ofsample means = 0.23

# of means drawn = 367

Sample size (n) = 20

● ● ● ● ●● ● ● ●● ●● ● ●● ●●●●●

● Sample pointsPopulation DistributionSample meanTheoretical SEEmpirical SE

x / x_bar

Den

sity

−4 −2 0 2 4

0.0

0.5

1.0

1.5

2.0

●

sd/sqrt(n) = 0.22

standard deviation ofsample means = 0.23

# of means drawn = 368

Sample size (n) = 20

●● ●●● ●● ●●●● ● ●● ●● ● ●●●

● Sample pointsPopulation DistributionSample meanTheoretical SEEmpirical SE

x / x_bar

Den

sity

−4 −2 0 2 4

0.0

0.5

1.0

1.5

2.0

●

sd/sqrt(n) = 0.22

standard deviation ofsample means = 0.23

# of means drawn = 369

Sample size (n) = 20

●● ●● ●● ●●●●● ●●● ● ●● ●●●

● Sample pointsPopulation DistributionSample meanTheoretical SEEmpirical SE

x / x_bar

Den

sity

−4 −2 0 2 4

0.0

0.5

1.0

1.5

2.0

●

sd/sqrt(n) = 0.22

standard deviation ofsample means = 0.23

# of means drawn = 370

Sample size (n) = 20

●● ●●● ● ●● ●● ● ●● ●● ●●● ●●

● Sample pointsPopulation DistributionSample meanTheoretical SEEmpirical SE

x / x_bar

Den

sity

−4 −2 0 2 4

0.0

0.5

1.0

1.5

2.0

●

sd/sqrt(n) = 0.22

standard deviation ofsample means = 0.23

# of means drawn = 371

Sample size (n) = 20

●● ●● ● ● ●● ●● ●● ●●●● ●● ●●

● Sample pointsPopulation DistributionSample meanTheoretical SEEmpirical SE

x / x_bar

Den

sity

−4 −2 0 2 4

0.0

0.5

1.0

1.5

2.0

●

sd/sqrt(n) = 0.22

standard deviation ofsample means = 0.23

# of means drawn = 372

Sample size (n) = 20

●● ●●● ●●● ●● ● ● ●●● ●●●● ●

● Sample pointsPopulation DistributionSample meanTheoretical SEEmpirical SE

x / x_bar

Den

sity

−4 −2 0 2 4

0.0

0.5

1.0

1.5

2.0

●

sd/sqrt(n) = 0.22

standard deviation ofsample means = 0.23

# of means drawn = 373

Sample size (n) = 20

●● ● ●●●●● ●●● ●● ●●● ●● ● ●

● Sample pointsPopulation DistributionSample meanTheoretical SEEmpirical SE

x / x_bar

Den

sity

−4 −2 0 2 4

0.0

0.5

1.0

1.5

2.0

●

sd/sqrt(n) = 0.22

standard deviation ofsample means = 0.23

# of means drawn = 374

Sample size (n) = 20

●●●●● ●●●●●●● ●●●●●● ●●

● Sample pointsPopulation DistributionSample meanTheoretical SEEmpirical SE

x / x_bar

Den

sity

−4 −2 0 2 4

0.0

0.5

1.0

1.5

2.0

●

sd/sqrt(n) = 0.22

standard deviation ofsample means = 0.23

# of means drawn = 375

Sample size (n) = 20

● ●●●● ●● ●● ● ●● ●●●● ●● ● ●

● Sample pointsPopulation DistributionSample meanTheoretical SEEmpirical SE

x / x_bar

Den

sity

−4 −2 0 2 4

0.0

0.5

1.0

1.5

2.0

●

sd/sqrt(n) = 0.22

standard deviation ofsample means = 0.23

# of means drawn = 376

Sample size (n) = 20

●●● ●●● ● ●● ●● ●●● ●●● ● ●●

● Sample pointsPopulation DistributionSample meanTheoretical SEEmpirical SE

x / x_bar

Den

sity

−4 −2 0 2 4

0.0

0.5

1.0

1.5

2.0

●

sd/sqrt(n) = 0.22

standard deviation ofsample means = 0.23

# of means drawn = 377

Sample size (n) = 20

● ●● ●● ● ●● ● ●● ● ●● ●● ●● ●●

● Sample pointsPopulation DistributionSample meanTheoretical SEEmpirical SE

x / x_bar

Den

sity

−4 −2 0 2 4

0.0

0.5

1.0

1.5

2.0

●

sd/sqrt(n) = 0.22

standard deviation ofsample means = 0.23

# of means drawn = 378

Sample size (n) = 20

●● ●●●● ●● ●● ●● ●● ●●●●●●

● Sample pointsPopulation DistributionSample meanTheoretical SEEmpirical SE

x / x_bar

Den

sity

−4 −2 0 2 4

0.0

0.5

1.0

1.5

2.0

●

sd/sqrt(n) = 0.22

standard deviation ofsample means = 0.23

# of means drawn = 379

Sample size (n) = 20

●●● ●● ●●● ●● ●●● ●●● ●●●●

● Sample pointsPopulation DistributionSample meanTheoretical SEEmpirical SE

x / x_bar

Den

sity

−4 −2 0 2 4

0.0

0.5

1.0

1.5

2.0

●

sd/sqrt(n) = 0.22

standard deviation ofsample means = 0.23

# of means drawn = 380

Sample size (n) = 20

●● ● ● ●●●● ●● ● ●● ● ●●●● ●●

● Sample pointsPopulation DistributionSample meanTheoretical SEEmpirical SE

x / x_bar

Den

sity

−4 −2 0 2 4

0.0

0.5

1.0

1.5

2.0

●

sd/sqrt(n) = 0.22

standard deviation ofsample means = 0.23

# of means drawn = 381

Sample size (n) = 20

● ●●●● ●●●●● ● ●● ●●●●● ●●

● Sample pointsPopulation DistributionSample meanTheoretical SEEmpirical SE

x / x_bar

Den

sity

−4 −2 0 2 4

0.0

0.5

1.0

1.5

2.0

●

sd/sqrt(n) = 0.22

standard deviation ofsample means = 0.23

# of means drawn = 382

Sample size (n) = 20

● ●●● ●●● ●● ● ●● ●●● ● ●●●●

● Sample pointsPopulation DistributionSample meanTheoretical SEEmpirical SE

x / x_bar

Den

sity

−4 −2 0 2 4

0.0

0.5

1.0

1.5

2.0

●

sd/sqrt(n) = 0.22

standard deviation ofsample means = 0.23

# of means drawn = 383

Sample size (n) = 20

●●● ● ● ●●● ●● ●● ●● ●●●● ● ●

● Sample pointsPopulation DistributionSample meanTheoretical SEEmpirical SE

x / x_bar

Den

sity

−4 −2 0 2 4

0.0

0.5

1.0

1.5

2.0

●

sd/sqrt(n) = 0.22

standard deviation ofsample means = 0.23

# of means drawn = 384

Sample size (n) = 20

●●●● ●●● ● ●●●●●● ●● ●● ● ●

● Sample pointsPopulation DistributionSample meanTheoretical SEEmpirical SE

x / x_bar

Den

sity

−4 −2 0 2 4

0.0

0.5

1.0

1.5

2.0

●

sd/sqrt(n) = 0.22

standard deviation ofsample means = 0.23

# of means drawn = 385

Sample size (n) = 20

●● ●●● ● ● ●● ● ●● ●● ● ●●●●●

● Sample pointsPopulation DistributionSample meanTheoretical SEEmpirical SE

x / x_bar

Den

sity

−4 −2 0 2 4

0.0

0.5

1.0

1.5

2.0

●

sd/sqrt(n) = 0.22

standard deviation ofsample means = 0.23

# of means drawn = 386

Sample size (n) = 20

●●● ● ●● ● ●● ● ●● ●●●● ●●● ●

● Sample pointsPopulation DistributionSample meanTheoretical SEEmpirical SE

x / x_bar

Den

sity

−4 −2 0 2 4

0.0

0.5

1.0

1.5

2.0

●

sd/sqrt(n) = 0.22

standard deviation ofsample means = 0.23

# of means drawn = 387

Sample size (n) = 20

●● ●● ●● ●●●● ●●● ● ●● ●● ● ●

● Sample pointsPopulation DistributionSample meanTheoretical SEEmpirical SE

x / x_bar

Den

sity

−4 −2 0 2 4

0.0

0.5

1.0

1.5

2.0

●

sd/sqrt(n) = 0.22

standard deviation ofsample means = 0.23

# of means drawn = 388

Sample size (n) = 20

● ● ●●● ● ●● ●● ● ●●● ● ●● ●●●

● Sample pointsPopulation DistributionSample meanTheoretical SEEmpirical SE

x / x_bar

Den

sity

−4 −2 0 2 4

0.0

0.5

1.0

1.5

2.0

●

sd/sqrt(n) = 0.22

standard deviation ofsample means = 0.23

# of means drawn = 389

Sample size (n) = 20

●● ●● ●●●● ●●● ●●●●●● ●●●

● Sample pointsPopulation DistributionSample meanTheoretical SEEmpirical SE

x / x_bar

Den

sity

−4 −2 0 2 4

0.0

0.5

1.0

1.5

2.0

●

sd/sqrt(n) = 0.22

standard deviation ofsample means = 0.23

# of means drawn = 390

Sample size (n) = 20

● ●● ●●●● ●●●●● ●●● ●● ● ●●

● Sample pointsPopulation DistributionSample meanTheoretical SEEmpirical SE

x / x_bar

Den

sity

−4 −2 0 2 4

0.0

0.5

1.0

1.5

2.0

●

sd/sqrt(n) = 0.22

standard deviation ofsample means = 0.23

# of means drawn = 391

Sample size (n) = 20

● ●● ● ●●● ●● ●● ●● ●● ● ● ●●●

● Sample pointsPopulation DistributionSample meanTheoretical SEEmpirical SE

x / x_bar

Den

sity

−4 −2 0 2 4

0.0

0.5

1.0

1.5

2.0

●

sd/sqrt(n) = 0.22

standard deviation ofsample means = 0.23

# of means drawn = 392

Sample size (n) = 20

●● ●● ● ●● ●●● ● ●●●● ● ●● ●●

● Sample pointsPopulation DistributionSample meanTheoretical SEEmpirical SE

x / x_bar

Den

sity

−4 −2 0 2 4

0.0

0.5

1.0

1.5

2.0

●

sd/sqrt(n) = 0.22

standard deviation ofsample means = 0.23

# of means drawn = 393

Sample size (n) = 20

●● ●●● ●●● ●● ●● ● ●●●● ●● ●

● Sample pointsPopulation DistributionSample meanTheoretical SEEmpirical SE

x / x_bar

Den

sity

−4 −2 0 2 4

0.0

0.5

1.0

1.5

2.0

●

sd/sqrt(n) = 0.22

standard deviation ofsample means = 0.23

# of means drawn = 394

Sample size (n) = 20

● ●● ● ●●● ● ●● ● ●●● ●● ●●● ●

● Sample pointsPopulation DistributionSample meanTheoretical SEEmpirical SE

x / x_bar

Den

sity

−4 −2 0 2 4

0.0

0.5

1.0

1.5

2.0

●

sd/sqrt(n) = 0.22

standard deviation ofsample means = 0.23

# of means drawn = 395

Sample size (n) = 20

● ●● ●●●● ●● ●●●● ●●●●● ●●

● Sample pointsPopulation DistributionSample meanTheoretical SEEmpirical SE

x / x_bar

Den

sity

−4 −2 0 2 4

0.0

0.5

1.0

1.5

2.0

●

sd/sqrt(n) = 0.22

standard deviation ofsample means = 0.23

# of means drawn = 396

Sample size (n) = 20

● ●● ●●● ●●●● ● ●●● ●●●● ●●

● Sample pointsPopulation DistributionSample meanTheoretical SEEmpirical SE

x / x_bar

Den

sity

−4 −2 0 2 4

0.0

0.5

1.0

1.5

2.0

●

sd/sqrt(n) = 0.22

standard deviation ofsample means = 0.23

# of means drawn = 397

Sample size (n) = 20

● ●● ●●●●● ●● ●●●● ●● ●● ● ●

● Sample pointsPopulation DistributionSample meanTheoretical SEEmpirical SE

x / x_bar

Den

sity

−4 −2 0 2 4

0.0

0.5

1.0

1.5

2.0

●

sd/sqrt(n) = 0.22

standard deviation ofsample means = 0.23

# of means drawn = 398

Sample size (n) = 20

●● ●● ●● ● ●● ●● ●●● ●● ● ●●●

● Sample pointsPopulation DistributionSample meanTheoretical SEEmpirical SE

x / x_bar

Den

sity

−4 −2 0 2 4

0.0

0.5

1.0

1.5

2.0

●

sd/sqrt(n) = 0.22

standard deviation ofsample means = 0.23

# of means drawn = 399

Sample size (n) = 20

●●● ●●● ●●● ●●● ●● ●● ●●● ●

● Sample pointsPopulation DistributionSample meanTheoretical SEEmpirical SE

x / x_bar

Den

sity

−4 −2 0 2 4

0.0

0.5

1.0

1.5

2.0

●

sd/sqrt(n) = 0.22

standard deviation ofsample means = 0.23

# of means drawn = 400

Sample size (n) = 20

● ●● ●●● ●●● ●● ● ●●●● ●● ●●

● Sample pointsPopulation DistributionSample meanTheoretical SEEmpirical SE

x / x_bar

Den

sity

−4 −2 0 2 4

0.0

0.5

1.0

1.5

2.0

●

sd/sqrt(n) = 0.22

standard deviation ofsample means = 0.23

# of means drawn = 401

Sample size (n) = 20

●● ●●●● ●●●●● ● ●●●● ●●●●

● Sample pointsPopulation DistributionSample meanTheoretical SEEmpirical SE

x / x_bar

Den

sity

−4 −2 0 2 4

0.0

0.5

1.0

1.5

2.0

●

sd/sqrt(n) = 0.22

standard deviation ofsample means = 0.23

# of means drawn = 402

Sample size (n) = 20

● ● ●● ●● ●●● ● ● ●●●●●● ●● ●

● Sample pointsPopulation DistributionSample meanTheoretical SEEmpirical SE

x / x_bar

Den

sity

−4 −2 0 2 4

0.0

0.5

1.0

1.5

2.0

●

sd/sqrt(n) = 0.22

standard deviation ofsample means = 0.23

# of means drawn = 403

Sample size (n) = 20

●● ●●●● ●● ●●● ● ● ●●● ● ●●●

● Sample pointsPopulation DistributionSample meanTheoretical SEEmpirical SE

x / x_bar

Den

sity

−4 −2 0 2 4

0.0

0.5

1.0

1.5

2.0

●

sd/sqrt(n) = 0.22

standard deviation ofsample means = 0.23

# of means drawn = 404

Sample size (n) = 20

●● ●● ●● ●● ●● ●●● ● ●● ●●●●

● Sample pointsPopulation DistributionSample meanTheoretical SEEmpirical SE

x / x_bar

Den

sity

−4 −2 0 2 4

0.0

0.5

1.0

1.5

2.0

●

sd/sqrt(n) = 0.22

standard deviation ofsample means = 0.23

# of means drawn = 405

Sample size (n) = 20

●● ●● ● ●● ●●● ●●● ●● ●●● ● ●

● Sample pointsPopulation DistributionSample meanTheoretical SEEmpirical SE

x / x_bar

Den

sity

−4 −2 0 2 4

0.0

0.5

1.0

1.5

2.0

●

sd/sqrt(n) = 0.22

standard deviation ofsample means = 0.23

# of means drawn = 406

Sample size (n) = 20

●● ● ●● ●● ● ● ●● ●● ●● ●● ●● ●

● Sample pointsPopulation DistributionSample meanTheoretical SEEmpirical SE

x / x_bar

Den

sity

−4 −2 0 2 4

0.0

0.5

1.0

1.5

2.0

●

sd/sqrt(n) = 0.22

standard deviation ofsample means = 0.23

# of means drawn = 407

Sample size (n) = 20

●● ●● ●● ● ●●●● ● ●●● ●● ● ●●

● Sample pointsPopulation DistributionSample meanTheoretical SEEmpirical SE

x / x_bar

Den

sity

−4 −2 0 2 4

0.0

0.5

1.0

1.5

2.0

●

sd/sqrt(n) = 0.22

standard deviation ofsample means = 0.23

# of means drawn = 408

Sample size (n) = 20

● ●●●●● ●● ●●● ●● ●● ●●● ●●

● Sample pointsPopulation DistributionSample meanTheoretical SEEmpirical SE

x / x_bar

Den

sity

−4 −2 0 2 4

0.0

0.5

1.0

1.5

2.0

●

sd/sqrt(n) = 0.22

standard deviation ofsample means = 0.23

# of means drawn = 409

Sample size (n) = 20

●●● ●● ●● ●● ●●●● ● ●● ●●● ●

● Sample pointsPopulation DistributionSample meanTheoretical SEEmpirical SE

x / x_bar

Den

sity

−4 −2 0 2 4

0.0

0.5

1.0

1.5

2.0

●

sd/sqrt(n) = 0.22

standard deviation ofsample means = 0.23

# of means drawn = 410

Sample size (n) = 20

● ●● ● ● ●● ●●● ●● ● ●● ● ●●● ●

● Sample pointsPopulation DistributionSample meanTheoretical SEEmpirical SE

x / x_bar

Den

sity

−4 −2 0 2 4

0.0

0.5

1.0

1.5

2.0

●

sd/sqrt(n) = 0.22

standard deviation ofsample means = 0.23

# of means drawn = 411

Sample size (n) = 20

●● ●●●● ●●● ●●●●● ● ●● ●● ●

● Sample pointsPopulation DistributionSample meanTheoretical SEEmpirical SE

x / x_bar

Den

sity

−4 −2 0 2 4

0.0

0.5

1.0

1.5

2.0

●

sd/sqrt(n) = 0.22

standard deviation ofsample means = 0.23

# of means drawn = 412

Sample size (n) = 20

● ●● ●●● ●● ● ●● ●●● ●● ●● ●●

● Sample pointsPopulation DistributionSample meanTheoretical SEEmpirical SE

x / x_bar

Den

sity

−4 −2 0 2 4

0.0

0.5

1.0

1.5

2.0

●

sd/sqrt(n) = 0.22

standard deviation ofsample means = 0.23

# of means drawn = 413

Sample size (n) = 20

●● ●● ● ●● ● ●● ●● ●● ●●● ● ●●

● Sample pointsPopulation DistributionSample meanTheoretical SEEmpirical SE

x / x_bar

Den

sity

−4 −2 0 2 4

0.0

0.5

1.0

1.5

2.0

●

sd/sqrt(n) = 0.22

standard deviation ofsample means = 0.23

# of means drawn = 414

Sample size (n) = 20

●● ●● ●●● ● ●● ●● ●● ●●● ● ●●

● Sample pointsPopulation DistributionSample meanTheoretical SEEmpirical SE

x / x_bar

Den

sity

−4 −2 0 2 4

0.0

0.5

1.0

1.5

2.0

●

sd/sqrt(n) = 0.22

standard deviation ofsample means = 0.23

# of means drawn = 415

Sample size (n) = 20

● ●● ●● ●● ●● ●● ● ●● ● ●● ●● ●

● Sample pointsPopulation DistributionSample meanTheoretical SEEmpirical SE

x / x_bar

Den

sity

−4 −2 0 2 4

0.0

0.5

1.0

1.5

2.0

●

sd/sqrt(n) = 0.22

standard deviation ofsample means = 0.23

# of means drawn = 416

Sample size (n) = 20

●●●● ● ● ●●●● ●● ●● ●● ● ●● ●

● Sample pointsPopulation DistributionSample meanTheoretical SEEmpirical SE

x / x_bar

Den

sity

−4 −2 0 2 4

0.0

0.5

1.0

1.5

2.0

●

sd/sqrt(n) = 0.22

standard deviation ofsample means = 0.23

# of means drawn = 417

Sample size (n) = 20

●● ● ● ●● ●● ●● ●● ● ●●● ●●● ●

● Sample pointsPopulation DistributionSample meanTheoretical SEEmpirical SE

x / x_bar

Den

sity

−4 −2 0 2 4

0.0

0.5

1.0

1.5

2.0

●

sd/sqrt(n) = 0.22

standard deviation ofsample means = 0.23

# of means drawn = 418

Sample size (n) = 20

● ●●● ● ●●● ● ●● ●●● ● ● ●● ● ●

● Sample pointsPopulation DistributionSample meanTheoretical SEEmpirical SE

x / x_bar

Den

sity

−4 −2 0 2 4

0.0

0.5

1.0

1.5

2.0

●

sd/sqrt(n) = 0.22

standard deviation ofsample means = 0.23

# of means drawn = 419

Sample size (n) = 20

● ●● ●●●● ●● ●●●● ●● ●● ● ●●

● Sample pointsPopulation DistributionSample meanTheoretical SEEmpirical SE

x / x_bar

Den

sity

−4 −2 0 2 4

0.0

0.5

1.0

1.5

2.0

●

sd/sqrt(n) = 0.22

standard deviation ofsample means = 0.23

# of means drawn = 420

Sample size (n) = 20

●● ●● ●●● ●● ●● ●● ● ● ●●●●●

● Sample pointsPopulation DistributionSample meanTheoretical SEEmpirical SE

x / x_bar

Den

sity

−4 −2 0 2 4

0.0

0.5

1.0

1.5

2.0

●

sd/sqrt(n) = 0.22

standard deviation ofsample means = 0.23

# of means drawn = 421

Sample size (n) = 20

●●● ●●● ●●● ●● ●●●● ●● ●● ●

● Sample pointsPopulation DistributionSample meanTheoretical SEEmpirical SE

x / x_bar

Den

sity

−4 −2 0 2 4

0.0

0.5

1.0

1.5

2.0

●

sd/sqrt(n) = 0.22

standard deviation ofsample means = 0.23

# of means drawn = 422

Sample size (n) = 20

● ● ●●●● ●●● ●● ● ●●● ●● ● ●●

● Sample pointsPopulation DistributionSample meanTheoretical SEEmpirical SE

x / x_bar

Den

sity

−4 −2 0 2 4

0.0

0.5

1.0

1.5

2.0

●

sd/sqrt(n) = 0.22

standard deviation ofsample means = 0.23

# of means drawn = 423

Sample size (n) = 20

●●● ●●●● ●● ●●● ●●● ●● ●●●

● Sample pointsPopulation DistributionSample meanTheoretical SEEmpirical SE

x / x_bar

Den

sity

−4 −2 0 2 4

0.0

0.5

1.0

1.5

2.0

●

sd/sqrt(n) = 0.22

standard deviation ofsample means = 0.22

# of means drawn = 424

Sample size (n) = 20

●● ●●● ●● ● ●●● ●●● ●●●●●●

● Sample pointsPopulation DistributionSample meanTheoretical SEEmpirical SE

x / x_bar

Den

sity

−4 −2 0 2 4

0.0

0.5

1.0

1.5

2.0

●

sd/sqrt(n) = 0.22

standard deviation ofsample means = 0.22

# of means drawn = 425

Sample size (n) = 20

● ● ●● ●●●● ●● ●● ●● ●● ● ● ●●

● Sample pointsPopulation DistributionSample meanTheoretical SEEmpirical SE

x / x_bar

Den

sity

−4 −2 0 2 4

0.0

0.5

1.0

1.5

2.0

●

sd/sqrt(n) = 0.22

standard deviation ofsample means = 0.22

# of means drawn = 426

Sample size (n) = 20

● ● ●● ●●●● ● ●●● ●● ●●●●● ●

● Sample pointsPopulation DistributionSample meanTheoretical SEEmpirical SE

x / x_bar

Den

sity

−4 −2 0 2 4

0.0

0.5

1.0

1.5

2.0

●

sd/sqrt(n) = 0.22

standard deviation ofsample means = 0.22

# of means drawn = 427

Sample size (n) = 20

● ●● ●● ● ● ●●● ●● ●●●●● ● ●●

● Sample pointsPopulation DistributionSample meanTheoretical SEEmpirical SE

x / x_bar

Den

sity

−4 −2 0 2 4

0.0

0.5

1.0

1.5

2.0

●

sd/sqrt(n) = 0.22

standard deviation ofsample means = 0.23

# of means drawn = 428

Sample size (n) = 20

●●● ●● ● ●●● ● ●●● ●● ●●● ●●

● Sample pointsPopulation DistributionSample meanTheoretical SEEmpirical SE

x / x_bar

Den

sity

−4 −2 0 2 4

0.0

0.5

1.0

1.5

2.0

●

sd/sqrt(n) = 0.22

standard deviation ofsample means = 0.23

# of means drawn = 429

Sample size (n) = 20

●● ● ● ●●●● ●●●● ●●● ● ● ●● ●

● Sample pointsPopulation DistributionSample meanTheoretical SEEmpirical SE

x / x_bar

Den

sity

−4 −2 0 2 4

0.0

0.5

1.0

1.5

2.0

●

sd/sqrt(n) = 0.22

standard deviation ofsample means = 0.23

# of means drawn = 430

Sample size (n) = 20

● ● ●● ●● ●● ●● ● ●●● ● ●● ● ●●

● Sample pointsPopulation DistributionSample meanTheoretical SEEmpirical SE

x / x_bar

Den

sity

−4 −2 0 2 4

0.0

0.5

1.0

1.5

2.0

●

sd/sqrt(n) = 0.22

standard deviation ofsample means = 0.23

# of means drawn = 431

Sample size (n) = 20

● ●● ●● ● ●●● ●● ●● ●● ●● ●● ●

● Sample pointsPopulation DistributionSample meanTheoretical SEEmpirical SE

x / x_bar

Den

sity

−4 −2 0 2 4

0.0

0.5

1.0

1.5

2.0

●

sd/sqrt(n) = 0.22

standard deviation ofsample means = 0.22

# of means drawn = 432

Sample size (n) = 20

●●● ●●● ●●●● ● ●● ● ●●● ●●●

● Sample pointsPopulation DistributionSample meanTheoretical SEEmpirical SE

x / x_bar

Den

sity

−4 −2 0 2 4

0.0

0.5

1.0

1.5

2.0

●

sd/sqrt(n) = 0.22

standard deviation ofsample means = 0.22

# of means drawn = 433

Sample size (n) = 20

●● ●● ●●● ●●●●● ●● ● ●● ● ●●

● Sample pointsPopulation DistributionSample meanTheoretical SEEmpirical SE

x / x_bar

Den

sity

−4 −2 0 2 4

0.0

0.5

1.0

1.5

2.0

●

sd/sqrt(n) = 0.22

standard deviation ofsample means = 0.23

# of means drawn = 434

Sample size (n) = 20

● ●● ● ●●●●● ●●● ● ●●●●●● ●

● Sample pointsPopulation DistributionSample meanTheoretical SEEmpirical SE

x / x_bar

Den

sity

−4 −2 0 2 4

0.0

0.5

1.0

1.5

2.0

●

sd/sqrt(n) = 0.22

standard deviation ofsample means = 0.23

# of means drawn = 435

Sample size (n) = 20

●●● ●●● ●●● ●● ●● ●●● ●● ● ●

● Sample pointsPopulation DistributionSample meanTheoretical SEEmpirical SE

x / x_bar

Den

sity

−4 −2 0 2 4

0.0

0.5

1.0

1.5

2.0

●

sd/sqrt(n) = 0.22

standard deviation ofsample means = 0.23

# of means drawn = 436

Sample size (n) = 20

● ●● ●● ●● ●● ●●●● ●●●● ● ●●

● Sample pointsPopulation DistributionSample meanTheoretical SEEmpirical SE

x / x_bar

Den

sity

−4 −2 0 2 4

0.0

0.5

1.0

1.5

2.0

●

sd/sqrt(n) = 0.22

standard deviation ofsample means = 0.22

# of means drawn = 437

Sample size (n) = 20

● ●●● ●●●● ● ●● ●● ●● ●●● ●●

● Sample pointsPopulation DistributionSample meanTheoretical SEEmpirical SE

x / x_bar

Den

sity

−4 −2 0 2 4

0.0

0.5

1.0

1.5

2.0

●

sd/sqrt(n) = 0.22

standard deviation ofsample means = 0.22

# of means drawn = 438

Sample size (n) = 20

● ●●● ●● ●●● ●● ● ●● ●●● ●● ●

● Sample pointsPopulation DistributionSample meanTheoretical SEEmpirical SE

x / x_bar

Den

sity

−4 −2 0 2 4

0.0

0.5

1.0

1.5

2.0

●

sd/sqrt(n) = 0.22

standard deviation ofsample means = 0.22

# of means drawn = 439

Sample size (n) = 20

● ●● ●●●● ●●●●● ● ●●● ● ●● ●

● Sample pointsPopulation DistributionSample meanTheoretical SEEmpirical SE

x / x_bar

Den

sity

−4 −2 0 2 4

0.0

0.5

1.0

1.5

2.0

●

sd/sqrt(n) = 0.22

standard deviation ofsample means = 0.22

# of means drawn = 440

Sample size (n) = 20

● ●● ●●●●● ●●● ●●● ●● ● ●●●

● Sample pointsPopulation DistributionSample meanTheoretical SEEmpirical SE

x / x_bar

Den

sity

−4 −2 0 2 4

0.0

0.5

1.0

1.5

2.0

●

sd/sqrt(n) = 0.22

standard deviation ofsample means = 0.22

# of means drawn = 441

Sample size (n) = 20

● ●●● ● ●● ●● ●●●● ●● ●●● ●●

● Sample pointsPopulation DistributionSample meanTheoretical SEEmpirical SE

x / x_bar

Den

sity

−4 −2 0 2 4

0.0

0.5

1.0

1.5

2.0

●

sd/sqrt(n) = 0.22

standard deviation ofsample means = 0.22

# of means drawn = 442

Sample size (n) = 20

● ●● ●●●●● ● ●● ●●●●● ●●● ●

● Sample pointsPopulation DistributionSample meanTheoretical SEEmpirical SE

x / x_bar

Den

sity

−4 −2 0 2 4

0.0

0.5

1.0

1.5

2.0

●

sd/sqrt(n) = 0.22

standard deviation ofsample means = 0.22

# of means drawn = 443

Sample size (n) = 20

● ●●● ● ●●● ●●●● ●●● ●●● ●●

● Sample pointsPopulation DistributionSample meanTheoretical SEEmpirical SE

x / x_bar

Den

sity

−4 −2 0 2 4

0.0

0.5

1.0

1.5

2.0

●

sd/sqrt(n) = 0.22

standard deviation ofsample means = 0.22

# of means drawn = 444

Sample size (n) = 20

● ●●● ●● ● ●●● ●● ● ●● ●●●● ●

● Sample pointsPopulation DistributionSample meanTheoretical SEEmpirical SE

x / x_bar

Den

sity

−4 −2 0 2 4

0.0

0.5

1.0

1.5

2.0

●

sd/sqrt(n) = 0.22

standard deviation ofsample means = 0.22

# of means drawn = 445

Sample size (n) = 20

● ●● ●●● ●●● ●● ●● ●●● ●●● ●

● Sample pointsPopulation DistributionSample meanTheoretical SEEmpirical SE

x / x_bar

Den

sity

−4 −2 0 2 4

0.0

0.5

1.0

1.5

2.0

●

sd/sqrt(n) = 0.22

standard deviation ofsample means = 0.22

# of means drawn = 446

Sample size (n) = 20

●● ●● ●● ●● ● ●● ●● ●● ● ●●● ●

● Sample pointsPopulation DistributionSample meanTheoretical SEEmpirical SE

x / x_bar

Den

sity

−4 −2 0 2 4

0.0

0.5

1.0

1.5

2.0

●

sd/sqrt(n) = 0.22

standard deviation ofsample means = 0.22

# of means drawn = 447

Sample size (n) = 20

●● ● ●● ●●● ●●●●● ●●●● ●● ●

● Sample pointsPopulation DistributionSample meanTheoretical SEEmpirical SE

x / x_bar

Den

sity

−4 −2 0 2 4

0.0

0.5

1.0

1.5

2.0

●

sd/sqrt(n) = 0.22

standard deviation ofsample means = 0.22

# of means drawn = 448

Sample size (n) = 20

●● ●● ●●● ● ●●●●● ●●● ● ●● ●

● Sample pointsPopulation DistributionSample meanTheoretical SEEmpirical SE

x / x_bar

Den

sity

−4 −2 0 2 4

0.0

0.5

1.0

1.5

2.0

●

sd/sqrt(n) = 0.22

standard deviation ofsample means = 0.22

# of means drawn = 449

Sample size (n) = 20

●● ●● ● ●●● ● ●●● ● ●● ●●●● ●

● Sample pointsPopulation DistributionSample meanTheoretical SEEmpirical SE

x / x_bar

Den

sity

−4 −2 0 2 4

0.0

0.5

1.0

1.5

2.0

●

sd/sqrt(n) = 0.22

standard deviation ofsample means = 0.22

# of means drawn = 450

Sample size (n) = 20

●● ●● ● ●● ● ●● ●●● ●● ● ●● ●●

● Sample pointsPopulation DistributionSample meanTheoretical SEEmpirical SE

x / x_bar

Den

sity

−4 −2 0 2 4

0.0

0.5

1.0

1.5

2.0

●

sd/sqrt(n) = 0.22

standard deviation ofsample means = 0.22

# of means drawn = 451

Sample size (n) = 20

●●● ●●● ●● ● ●● ●●● ●●●● ● ●

● Sample pointsPopulation DistributionSample meanTheoretical SEEmpirical SE

x / x_bar

Den

sity

−4 −2 0 2 4

0.0

0.5

1.0

1.5

2.0

●

sd/sqrt(n) = 0.22

standard deviation ofsample means = 0.22

# of means drawn = 452

Sample size (n) = 20

● ●● ● ●●●●● ● ● ●●● ● ● ●●● ●

● Sample pointsPopulation DistributionSample meanTheoretical SEEmpirical SE

x / x_bar

Den

sity

−4 −2 0 2 4

0.0

0.5

1.0

1.5

2.0

●

sd/sqrt(n) = 0.22

standard deviation ofsample means = 0.22

# of means drawn = 453

Sample size (n) = 20

●●●● ●●●● ●●●● ●● ● ●●●● ●

● Sample pointsPopulation DistributionSample meanTheoretical SEEmpirical SE

x / x_bar

Den

sity

−4 −2 0 2 4

0.0

0.5

1.0

1.5

2.0

●

sd/sqrt(n) = 0.22

standard deviation ofsample means = 0.22

# of means drawn = 454

Sample size (n) = 20

●●● ● ●●●● ●●● ●● ●●● ●● ●●

● Sample pointsPopulation DistributionSample meanTheoretical SEEmpirical SE

x / x_bar

Den

sity

−4 −2 0 2 4

0.0

0.5

1.0

1.5

2.0

●

sd/sqrt(n) = 0.22

standard deviation ofsample means = 0.22

# of means drawn = 455

Sample size (n) = 20

●●● ●● ●●●●● ● ●●● ●● ●● ●●

● Sample pointsPopulation DistributionSample meanTheoretical SEEmpirical SE

x / x_bar

Den

sity

−4 −2 0 2 4

0.0

0.5

1.0

1.5

2.0

●

sd/sqrt(n) = 0.22

standard deviation ofsample means = 0.22

# of means drawn = 456

Sample size (n) = 20

●●● ●●●● ●● ●● ●●● ●●● ● ●●

● Sample pointsPopulation DistributionSample meanTheoretical SEEmpirical SE

x / x_bar

Den

sity

−4 −2 0 2 4

0.0

0.5

1.0

1.5

2.0

●

sd/sqrt(n) = 0.22

standard deviation ofsample means = 0.22

# of means drawn = 457

Sample size (n) = 20

●●●● ●●●● ●● ●● ●●● ●●●●●

● Sample pointsPopulation DistributionSample meanTheoretical SEEmpirical SE

x / x_bar

Den

sity

−4 −2 0 2 4

0.0

0.5

1.0

1.5

2.0

●

sd/sqrt(n) = 0.22

standard deviation ofsample means = 0.22

# of means drawn = 458

Sample size (n) = 20

●● ●●● ●● ●● ● ●●●● ●● ● ●● ●

● Sample pointsPopulation DistributionSample meanTheoretical SEEmpirical SE

x / x_bar

Den

sity

−4 −2 0 2 4

0.0

0.5

1.0

1.5

2.0

●

sd/sqrt(n) = 0.22

standard deviation ofsample means = 0.22

# of means drawn = 459

Sample size (n) = 20

● ●●●●● ●●●● ●●● ● ●● ●●● ●

● Sample pointsPopulation DistributionSample meanTheoretical SEEmpirical SE

x / x_bar

Den

sity

−4 −2 0 2 4

0.0

0.5

1.0

1.5

2.0

●

sd/sqrt(n) = 0.22

standard deviation ofsample means = 0.22

# of means drawn = 460

Sample size (n) = 20

● ●●●● ●● ●● ●●● ●●● ● ●●● ●

● Sample pointsPopulation DistributionSample meanTheoretical SEEmpirical SE

x / x_bar

Den

sity

−4 −2 0 2 4

0.0

0.5

1.0

1.5

2.0

●

sd/sqrt(n) = 0.22

standard deviation ofsample means = 0.22

# of means drawn = 461

Sample size (n) = 20

● ● ●●● ●● ●●● ● ●● ●● ● ●●●●

● Sample pointsPopulation DistributionSample meanTheoretical SEEmpirical SE

x / x_bar

Den

sity

−4 −2 0 2 4

0.0

0.5

1.0

1.5

2.0

●

sd/sqrt(n) = 0.22

standard deviation ofsample means = 0.22

# of means drawn = 462

Sample size (n) = 20

●● ● ●●●● ● ●● ●● ● ●● ●● ●●●

● Sample pointsPopulation DistributionSample meanTheoretical SEEmpirical SE

x / x_bar

Den

sity

−4 −2 0 2 4

0.0

0.5

1.0

1.5

2.0

●

sd/sqrt(n) = 0.22

standard deviation ofsample means = 0.22

# of means drawn = 463

Sample size (n) = 20

● ●● ●● ●● ●●● ● ●● ● ● ●●● ●●

● Sample pointsPopulation DistributionSample meanTheoretical SEEmpirical SE

x / x_bar

Den

sity

−4 −2 0 2 4

0.0

0.5

1.0

1.5

2.0

●

sd/sqrt(n) = 0.22

standard deviation ofsample means = 0.22

# of means drawn = 464

Sample size (n) = 20

● ● ● ● ●●●●●● ●●●● ●● ●●● ●

● Sample pointsPopulation DistributionSample meanTheoretical SEEmpirical SE

x / x_bar

Den

sity

−4 −2 0 2 4

0.0

0.5

1.0

1.5

2.0

●

sd/sqrt(n) = 0.22

standard deviation ofsample means = 0.22

# of means drawn = 465

Sample size (n) = 20

● ●● ● ●●● ●● ●● ● ●● ●●● ●● ●

● Sample pointsPopulation DistributionSample meanTheoretical SEEmpirical SE

x / x_bar

Den

sity

−4 −2 0 2 4

0.0

0.5

1.0

1.5

2.0

●

sd/sqrt(n) = 0.22

standard deviation ofsample means = 0.22

# of means drawn = 466

Sample size (n) = 20

●●● ●●● ●● ●●●●● ●● ●●●● ●

● Sample pointsPopulation DistributionSample meanTheoretical SEEmpirical SE

x / x_bar

Den

sity

−4 −2 0 2 4

0.0

0.5

1.0

1.5

2.0

●

sd/sqrt(n) = 0.22

standard deviation ofsample means = 0.22

# of means drawn = 467

Sample size (n) = 20

● ●● ●●● ● ●● ● ●●● ●● ●●● ●●

● Sample pointsPopulation DistributionSample meanTheoretical SEEmpirical SE

x / x_bar

Den

sity

−4 −2 0 2 4

0.0

0.5

1.0

1.5

2.0

●

sd/sqrt(n) = 0.22

standard deviation ofsample means = 0.22

# of means drawn = 468

Sample size (n) = 20

●● ●●● ● ● ●●● ●● ●●● ●● ●● ●

● Sample pointsPopulation DistributionSample meanTheoretical SEEmpirical SE

x / x_bar

Den

sity

−4 −2 0 2 4

0.0

0.5

1.0

1.5

2.0

●

sd/sqrt(n) = 0.22

standard deviation ofsample means = 0.22

# of means drawn = 469

Sample size (n) = 20

● ●●●● ● ●●●● ●●●● ●● ●● ●●

● Sample pointsPopulation DistributionSample meanTheoretical SEEmpirical SE

x / x_bar

Den

sity

−4 −2 0 2 4

0.0

0.5

1.0

1.5

2.0

●

sd/sqrt(n) = 0.22

standard deviation ofsample means = 0.22

# of means drawn = 470

Sample size (n) = 20

● ●●● ● ●●●● ● ●●●●● ●●● ●●

● Sample pointsPopulation DistributionSample meanTheoretical SEEmpirical SE

x / x_bar

Den

sity

−4 −2 0 2 4

0.0

0.5

1.0

1.5

2.0

●

sd/sqrt(n) = 0.22

standard deviation ofsample means = 0.22

# of means drawn = 471

Sample size (n) = 20

● ●●●● ● ●●●●● ●● ●● ● ●●● ●

● Sample pointsPopulation DistributionSample meanTheoretical SEEmpirical SE

x / x_bar

Den

sity

−4 −2 0 2 4

0.0

0.5

1.0

1.5

2.0

●

sd/sqrt(n) = 0.22

standard deviation ofsample means = 0.22

# of means drawn = 472

Sample size (n) = 20

●● ●●● ●● ●● ● ●●●●● ● ●●● ●

● Sample pointsPopulation DistributionSample meanTheoretical SEEmpirical SE

x / x_bar

Den

sity

−4 −2 0 2 4

0.0

0.5

1.0

1.5

2.0

●

sd/sqrt(n) = 0.22

standard deviation ofsample means = 0.22

# of means drawn = 473

Sample size (n) = 20

●●●● ● ●● ●●● ●● ●● ●●●●● ●

● Sample pointsPopulation DistributionSample meanTheoretical SEEmpirical SE

x / x_bar

Den

sity

−4 −2 0 2 4

0.0

0.5

1.0

1.5

2.0

●

sd/sqrt(n) = 0.22

standard deviation ofsample means = 0.22

# of means drawn = 474

Sample size (n) = 20

● ● ●● ●● ●●● ●● ●●●● ●● ● ● ●

● Sample pointsPopulation DistributionSample meanTheoretical SEEmpirical SE

x / x_bar

Den

sity

−4 −2 0 2 4

0.0

0.5

1.0

1.5

2.0

●

sd/sqrt(n) = 0.22

standard deviation ofsample means = 0.22

# of means drawn = 475

Sample size (n) = 20

●●● ●● ● ●● ● ● ●●● ●●● ●● ●●

● Sample pointsPopulation DistributionSample meanTheoretical SEEmpirical SE

x / x_bar

Den

sity

−4 −2 0 2 4

0.0

0.5

1.0

1.5

2.0

●

sd/sqrt(n) = 0.22

standard deviation ofsample means = 0.22

# of means drawn = 476

Sample size (n) = 20

●● ● ●●●●● ●●●● ●● ●●● ● ●●

● Sample pointsPopulation DistributionSample meanTheoretical SEEmpirical SE

x / x_bar

Den

sity

−4 −2 0 2 4

0.0

0.5

1.0

1.5

2.0

●

sd/sqrt(n) = 0.22

standard deviation ofsample means = 0.22

# of means drawn = 477

Sample size (n) = 20

●● ●●●● ● ●●●●●● ●●●● ●●●

● Sample pointsPopulation DistributionSample meanTheoretical SEEmpirical SE

x / x_bar

Den

sity

−4 −2 0 2 4

0.0

0.5

1.0

1.5

2.0

●

sd/sqrt(n) = 0.22

standard deviation ofsample means = 0.22

# of means drawn = 478

Sample size (n) = 20

●● ●●● ● ●●●●● ●●●●● ●●● ●

● Sample pointsPopulation DistributionSample meanTheoretical SEEmpirical SE

x / x_bar

Den

sity

−4 −2 0 2 4

0.0

0.5

1.0

1.5

2.0

●

sd/sqrt(n) = 0.22

standard deviation ofsample means = 0.22

# of means drawn = 479

Sample size (n) = 20

●● ●●●● ●●●● ●● ● ●● ●●●● ●

● Sample pointsPopulation DistributionSample meanTheoretical SEEmpirical SE

x / x_bar

Den

sity

−4 −2 0 2 4

0.0

0.5

1.0

1.5

2.0

●

sd/sqrt(n) = 0.22

standard deviation ofsample means = 0.22

# of means drawn = 480

Sample size (n) = 20

●● ●●● ● ● ● ●●● ●●● ●● ●● ●●

● Sample pointsPopulation DistributionSample meanTheoretical SEEmpirical SE

x / x_bar

Den

sity

−4 −2 0 2 4

0.0

0.5

1.0

1.5

2.0

●

sd/sqrt(n) = 0.22

standard deviation ofsample means = 0.22

# of means drawn = 481

Sample size (n) = 20

●●● ● ●● ●●●● ●● ● ● ●●● ●● ●

● Sample pointsPopulation DistributionSample meanTheoretical SEEmpirical SE

x / x_bar

Den

sity

−4 −2 0 2 4

0.0

0.5

1.0

1.5

2.0

●

sd/sqrt(n) = 0.22

standard deviation ofsample means = 0.22

# of means drawn = 482

Sample size (n) = 20

● ●●● ● ●● ●●● ●● ●●● ●● ●● ●

● Sample pointsPopulation DistributionSample meanTheoretical SEEmpirical SE

x / x_bar

Den

sity

−4 −2 0 2 4

0.0

0.5

1.0

1.5

2.0

●

sd/sqrt(n) = 0.22

standard deviation ofsample means = 0.22

# of means drawn = 483

Sample size (n) = 20

●●●● ● ●●● ●●●● ●● ●●●● ● ●

● Sample pointsPopulation DistributionSample meanTheoretical SEEmpirical SE

x / x_bar

Den

sity

−4 −2 0 2 4

0.0

0.5

1.0

1.5

2.0

●

sd/sqrt(n) = 0.22

standard deviation ofsample means = 0.22

# of means drawn = 484

Sample size (n) = 20

● ● ●● ●●●● ● ●● ● ● ● ●●● ●● ●

● Sample pointsPopulation DistributionSample meanTheoretical SEEmpirical SE

x / x_bar

Den

sity

−4 −2 0 2 4

0.0

0.5

1.0

1.5

2.0

●

sd/sqrt(n) = 0.22

standard deviation ofsample means = 0.22

# of means drawn = 485

Sample size (n) = 20

●● ● ●● ●● ●● ●● ●●● ●● ●● ●●

● Sample pointsPopulation DistributionSample meanTheoretical SEEmpirical SE

x / x_bar

Den

sity

−4 −2 0 2 4

0.0

0.5

1.0

1.5

2.0

●

sd/sqrt(n) = 0.22

standard deviation ofsample means = 0.22

# of means drawn = 486

Sample size (n) = 20

●● ●● ●● ●●●● ●● ● ●●● ●●●●

● Sample pointsPopulation DistributionSample meanTheoretical SEEmpirical SE

x / x_bar

Den

sity

−4 −2 0 2 4

0.0

0.5

1.0

1.5

2.0

●

sd/sqrt(n) = 0.22

standard deviation ofsample means = 0.22

# of means drawn = 487

Sample size (n) = 20

●●●● ●● ●●● ● ● ●● ●●● ● ● ● ●

● Sample pointsPopulation DistributionSample meanTheoretical SEEmpirical SE

x / x_bar

Den

sity

−4 −2 0 2 4

0.0

0.5

1.0

1.5

2.0

●

sd/sqrt(n) = 0.22

standard deviation ofsample means = 0.22

# of means drawn = 488

Sample size (n) = 20

●● ●●●● ●● ●●● ●●●● ●●● ● ●

● Sample pointsPopulation DistributionSample meanTheoretical SEEmpirical SE

x / x_bar

Den

sity

−4 −2 0 2 4

0.0

0.5

1.0

1.5

2.0

●

sd/sqrt(n) = 0.22

standard deviation ofsample means = 0.22

# of means drawn = 489

Sample size (n) = 20

● ● ●●● ● ●● ● ●● ● ●●● ● ● ●● ●

● Sample pointsPopulation DistributionSample meanTheoretical SEEmpirical SE

x / x_bar

Den

sity

−4 −2 0 2 4

0.0

0.5

1.0

1.5

2.0

●

sd/sqrt(n) = 0.22

standard deviation ofsample means = 0.22

# of means drawn = 490

Sample size (n) = 20

●● ●●● ●● ●● ●● ●● ●● ●●● ● ●

● Sample pointsPopulation DistributionSample meanTheoretical SEEmpirical SE

x / x_bar

Den

sity

−4 −2 0 2 4

0.0

0.5

1.0

1.5

2.0

●

sd/sqrt(n) = 0.22

standard deviation ofsample means = 0.22

# of means drawn = 491

Sample size (n) = 20

● ●● ●● ●● ●●●●●● ●● ●● ●● ●

● Sample pointsPopulation DistributionSample meanTheoretical SEEmpirical SE

x / x_bar

Den

sity

−4 −2 0 2 4

0.0

0.5

1.0

1.5

2.0

●

sd/sqrt(n) = 0.22

standard deviation ofsample means = 0.22

# of means drawn = 492

Sample size (n) = 20

● ●● ●●● ●● ● ●●● ●●● ●● ●● ●

● Sample pointsPopulation DistributionSample meanTheoretical SEEmpirical SE

x / x_bar

Den

sity

−4 −2 0 2 4

0.0

0.5

1.0

1.5

2.0

●

sd/sqrt(n) = 0.22

standard deviation ofsample means = 0.22

# of means drawn = 493

Sample size (n) = 20

●●●● ●●●●●● ●●● ●● ●●●●●

● Sample pointsPopulation DistributionSample meanTheoretical SEEmpirical SE

x / x_bar

Den

sity

−4 −2 0 2 4

0.0

0.5

1.0

1.5

2.0

●

sd/sqrt(n) = 0.22

standard deviation ofsample means = 0.22

# of means drawn = 494

Sample size (n) = 20

●●● ● ●● ●●●● ●●●● ●●● ●● ●

● Sample pointsPopulation DistributionSample meanTheoretical SEEmpirical SE

x / x_bar

Den

sity

−4 −2 0 2 4

0.0

0.5

1.0

1.5

2.0

●

sd/sqrt(n) = 0.22

standard deviation ofsample means = 0.22

# of means drawn = 495

Sample size (n) = 20

● ●● ● ●● ●●●●● ●●●●● ● ● ●●

● Sample pointsPopulation DistributionSample meanTheoretical SEEmpirical SE

x / x_bar

Den

sity

−4 −2 0 2 4

0.0

0.5

1.0

1.5

2.0

●

sd/sqrt(n) = 0.22

standard deviation ofsample means = 0.22

# of means drawn = 496

Sample size (n) = 20

●● ●●● ● ●●● ●●●●●●● ● ●●●

● Sample pointsPopulation DistributionSample meanTheoretical SEEmpirical SE

x / x_bar

Den

sity

−4 −2 0 2 4

0.0

0.5

1.0

1.5

2.0

●

sd/sqrt(n) = 0.22

standard deviation ofsample means = 0.22

# of means drawn = 497

Sample size (n) = 20

● ●●● ●● ●●●●● ● ● ●● ●●●● ●

● Sample pointsPopulation DistributionSample meanTheoretical SEEmpirical SE

x / x_bar

Den

sity

−4 −2 0 2 4

0.0

0.5

1.0

1.5

2.0

●

sd/sqrt(n) = 0.22

standard deviation ofsample means = 0.22

# of means drawn = 498

Sample size (n) = 20

● ●● ●● ●● ●● ● ●●● ●● ● ●● ●●

● Sample pointsPopulation DistributionSample meanTheoretical SEEmpirical SE

x / x_bar

Den

sity

−4 −2 0 2 4

0.0

0.5

1.0

1.5

2.0

●

sd/sqrt(n) = 0.22

standard deviation ofsample means = 0.22

# of means drawn = 499

Sample size (n) = 20

● ●●● ●●●●● ●● ● ●● ●●● ●●●

● Sample pointsPopulation DistributionSample meanTheoretical SEEmpirical SE

x / x_bar

Den

sity

−4 −2 0 2 4

0.0

0.5

1.0

1.5

2.0

●

sd/sqrt(n) = 0.22

standard deviation ofsample means = 0.22

# of means drawn = 500

Sample size (n) = 20

●●● ●● ● ●● ● ●●● ●●●● ● ●●●

● Sample pointsPopulation DistributionSample meanTheoretical SEEmpirical SE