Last year a bill was passed. Of those who voted, 40 people gave two pieces of information: if they voted yes or no and their height (in inches). Assuming the samples were drawn from populations with the same population variance, find the 95% confidence interval for the difference in means of heights.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.2: Arithmetic Sequences
Problem 68E
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Last year a bill was passed. Of those who voted, 40 people gave two pieces of information: if they voted yes or no and their height (in inches).

Assuming the samples were drawn from populations with the same population variance, find the 95% confidence interval for the difference in means of heights.

80
75-
70-
60-
Y
Vote
Oneway Anova
Summary of Fit
t Test
Y-N
Assuming equal variances
Difference
-1.3500
t Ratio
-1.02815
Std Err Dif
1.3130
DF
38
Upper CL Dif
1.3081
Prob > It|
0.3104
Lower CL Dif -4.0081
Prob > t
0.8448
Confidence
0.95 Prob <t
0.1552
-4 -3 -2 -1 ó 1 2 3 4
Analysis of Variance
Source
DF
Sum of Squares Mean Square F Ratio Prob > F
Vote
1
18.22500
18.2250
1.0571
0.3104
Error
38
655.15000
17.2408
C. Total
39
673.37500
Means for Oneway Anova
Level Number
Мean
Std Error Lower 95% Upper 95%
N
20
69.0500
0.92846
67.170
70.930
Y
20 67.7000
0.92846
65.820
69.580
Std Error uses a pooled estimate of error variance
Height (inches)
Transcribed Image Text:80 75- 70- 60- Y Vote Oneway Anova Summary of Fit t Test Y-N Assuming equal variances Difference -1.3500 t Ratio -1.02815 Std Err Dif 1.3130 DF 38 Upper CL Dif 1.3081 Prob > It| 0.3104 Lower CL Dif -4.0081 Prob > t 0.8448 Confidence 0.95 Prob <t 0.1552 -4 -3 -2 -1 ó 1 2 3 4 Analysis of Variance Source DF Sum of Squares Mean Square F Ratio Prob > F Vote 1 18.22500 18.2250 1.0571 0.3104 Error 38 655.15000 17.2408 C. Total 39 673.37500 Means for Oneway Anova Level Number Мean Std Error Lower 95% Upper 95% N 20 69.0500 0.92846 67.170 70.930 Y 20 67.7000 0.92846 65.820 69.580 Std Error uses a pooled estimate of error variance Height (inches)
) (b)
Assuming the samples were drawn from populations with the same population variance, find the 95% confidence interval for the difference in means of heights.
)
0.7556
1.9444
Transcribed Image Text:) (b) Assuming the samples were drawn from populations with the same population variance, find the 95% confidence interval for the difference in means of heights. ) 0.7556 1.9444
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