Welcome to Rectangularity ! Home of the Squarely Quads
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Transcript of Welcome to Rectangularity ! Home of the Squarely Quads
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Welcome to
Rectangularity!
Home of the Squarely Quads
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Rectangularity has a population of 100 squarely quads with various areas. Each square
represents one unit towards a rectangle’s area.
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What is the purpose of a confidence interval?
To determine how confident you are that the population
mean falls within your interval
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Why are we replacing the card after each selection?
to maintain independence among the sample
observations
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Confidence Interval Formula
CI = x ± MEME = z * (σ/√n)critical z value
1. percent of area in each tail = (1 – CI)/22. 2nd, VARS, 3 (invNorm), 1-%
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Table of Common Confidence and Levels
1 /2 z/2
0.70 0.30 0.15 1.03
0.75 0.25 0.125 1.15
0.80 0.20 0.10 1.28
0.90 0.10 0.05 1.645
0.95 0.05 0.025 1.96
0.99 0.01 0.005 2.58
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Confidence Intervals on TI-841. S2. > twice “Tests”3. 7 (Zinterval…)4. > once “Stats”5. ; once & enter σ (s if unknown)6. ; once & enter x7. ; once & enter n8. ; once & enter CI (as a decimal)9. ; once & e
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0 1 2 3 4 5 6 7 8 9 10 11 12 13
6.26
Clas
s Dat
afo
r 80%
Con
fiden
ce L
evel
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0 1 2 3 4 5 6 7 8 9 10 11 12 13
6.26
Clas
s Dat
afo
r 99%
Con
fiden
ce L
evel
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80%
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An 80% confidence level means that we would expect 80% of the interval estimates to include the population parameter.
99%
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A 99% confidence level means that we would expect 99% of the interval estimates to include the population parameter.
It is very likely to enclose the mean of the population.
It may be too wide to give us a good estimate of the value of μ.
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Cardsto represent
the Populationof Squarely Quads
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Mr.1
Mr.3
Mr.5
Mr.7
Ms. 2
Ms. 4
Ms. 6
Ms. 8
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Mr. 9 Mr. 11
Mr. 13
Mr. 15
Ms.
10Ms.
12Ms.
14Ms.
16
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Mr. 17
Mr. 19
Mr. 21
Mr. 23
Ms.
18Ms.
20Ms.
22Ms.
24
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Mr. 25
Mr. 27
Mr. 29
Mr. 31
Ms.
26Ms.
28Ms.
30Ms.
32
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Mr. 33
Mr. 35
Mr. 37
Mr. 39
Ms.
34Ms.
36Ms.
38Ms.
40
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Mr. 41
Mr. 43
Mr. 45
Mr. 47
Ms.
42Ms.
44Ms.
46Ms.
48
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Mr. 49
Mr. 51
Mr. 53
Mr. 55
Ms.
50Ms.
52Ms.
54Ms.
56
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Mr. 57
Mr. 59
Mr. 61
Mr. 63
Ms.
58Ms.
60Ms.
62Ms.
64
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Mr. 65
Mr. 67
Mr. 69
Mr. 71
Ms.
66Ms.
68Ms.
70Ms.
72
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Mr. 73
Mr. 75
Mr. 77
Mr. 79
Ms.
74Ms.
76Ms.
78Ms.
80
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Mr. 81
Mr. 83
Mr. 85
Mr. 87
Ms.
82Ms.
84Ms.
86Ms.
88
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Mr. 89
Mr. 91
Mr. 93
Mr. 95
Ms.
90Ms.
92Ms.
94Ms.
96
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Mr. 97
Mr. 99
Ms.
98Ms.
100 Adap
ted
by D
r. Je
nnife
r L. B
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bus S
tate
Uni
vers
ity, 2
012
Orig
inal
Sou
rce:
(Ric
hard
son,
Cur
tiss,
Gab
rose
k, &
Rei
schm
an, 2
002)