Sample points sd/sqrt(n) = 0.22 standard deviation of 1commres.net/wiki/_media/se.pdf ·...
Transcript of Sample points sd/sqrt(n) = 0.22 standard deviation of 1commres.net/wiki/_media/se.pdf ·...
x / x_bar
Den
sity
−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
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● Sample pointsPopulation DistributionSample meanTheoretical SEEmpirical SE
x / x_bar
Den
sity
−4 −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
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● Sample pointsPopulation DistributionSample meanTheoretical SEEmpirical SE
x / x_bar
Den
sity
−4 −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
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● Sample pointsPopulation DistributionSample meanTheoretical SEEmpirical SE
x / x_bar
Den
sity
−4 −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
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● Sample pointsPopulation DistributionSample meanTheoretical SEEmpirical SE
x / x_bar
Den
sity
−4 −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
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● Sample pointsPopulation DistributionSample meanTheoretical SEEmpirical SE
x / x_bar
Den
sity
−4 −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
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● Sample pointsPopulation DistributionSample meanTheoretical SEEmpirical SE
x / x_bar
Den
sity
−4 −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
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● Sample pointsPopulation DistributionSample meanTheoretical SEEmpirical SE
x / x_bar
Den
sity
−4 −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
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● Sample pointsPopulation DistributionSample meanTheoretical SEEmpirical SE
x / x_bar
Den
sity
−4 −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
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● Sample pointsPopulation DistributionSample meanTheoretical SEEmpirical SE
x / x_bar
Den
sity
−4 −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
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● Sample pointsPopulation DistributionSample meanTheoretical SEEmpirical SE
x / x_bar
Den
sity
−4 −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
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● Sample pointsPopulation DistributionSample meanTheoretical SEEmpirical SE
x / x_bar
Den
sity
−4 −2 0 2 4
0.0
0.5
1.0
1.5
2.0
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sd/sqrt(n) = 0.22
standard deviation ofsample means = 0.11
# of means drawn = 14
Sample size (n) = 20
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● Sample pointsPopulation DistributionSample meanTheoretical SEEmpirical SE
x / x_bar
Den
sity
−4 −2 0 2 4
0.0
0.5
1.0
1.5
2.0
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sd/sqrt(n) = 0.22
standard deviation ofsample means = 0.14
# of means drawn = 15
Sample size (n) = 20
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● Sample pointsPopulation DistributionSample meanTheoretical SEEmpirical SE
x / x_bar
Den
sity
−4 −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
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● Sample pointsPopulation DistributionSample meanTheoretical SEEmpirical SE
x / x_bar
Den
sity
−4 −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
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● Sample pointsPopulation DistributionSample meanTheoretical SEEmpirical SE
x / x_bar
Den
sity
−4 −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
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● Sample pointsPopulation DistributionSample meanTheoretical SEEmpirical SE
x / x_bar
Den
sity
−4 −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
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● Sample pointsPopulation DistributionSample meanTheoretical SEEmpirical SE
x / x_bar
Den
sity
−4 −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
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● Sample pointsPopulation DistributionSample meanTheoretical SEEmpirical SE
x / x_bar
Den
sity
−4 −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
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● Sample pointsPopulation DistributionSample meanTheoretical SEEmpirical SE
x / x_bar
Den
sity
−4 −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