en omen 176.2 170.1 176.0 175.1 177.9 186.5 166.8 176.0 177.5 174.7 168.3 166.0 153.4 159.6 176.9 169.0 133.5 163.6 171.4 159.4 a. Construct a 92% confidence interval for the difference between the mean heights of men and women. Round your answers to 3 decimals. Use the smallest of the two degrees of freedom. Critical value: 2 or t* = (Enter the positive one.) Margin of Error: E = Confidence Interval: [ b. Interpret your result in part (a) in a complete sentence. c. Based on your confidence interval, can you conclude that the mean height of men differs from the mean height of women? O Yes O No

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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Question
Listed below are heights of a random sample of men and women.
Men
Women
186.5 166.8 176.0 177.5
159.4 168.3 166.0 153.4
a. Construct a 92% confidence interval for the difference between the mean heights of men and
women. Round your answers to 3 decimals. Use the smallest of the two degrees of freedom.
(Enter the positive one.)
Critical value: %*
or t*
Margin of Error: E =
Confidence Interval: [
175.1 177.9
174.7 176.2 170.1 176.0
159.6 176.9 169.0 133.5 163.6 171.4
=
b. Interpret your result in part (a) in a complete sentence.
c. Based on your confidence interval, can you conclude that the mean height of men differs from the
mean height of women?
Yes
No
Transcribed Image Text:Listed below are heights of a random sample of men and women. Men Women 186.5 166.8 176.0 177.5 159.4 168.3 166.0 153.4 a. Construct a 92% confidence interval for the difference between the mean heights of men and women. Round your answers to 3 decimals. Use the smallest of the two degrees of freedom. (Enter the positive one.) Critical value: %* or t* Margin of Error: E = Confidence Interval: [ 175.1 177.9 174.7 176.2 170.1 176.0 159.6 176.9 169.0 133.5 163.6 171.4 = b. Interpret your result in part (a) in a complete sentence. c. Based on your confidence interval, can you conclude that the mean height of men differs from the mean height of women? Yes No
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