Listed below are heights of a random sample of men and women. Men Women 188.0 166.8 177.7 176.9 174.8 176.0 170.8 175.2 175.7 177.3 161.0 168.2 166.0 153.7 159.6 176.8 169.1 135.4 164.3 170.6 a. Construct a 96% 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: z* or t* = (Enter the positive one.) Margin of Error: E = Confidence Interval: b. Interpret your result in part (a) in a complete sentence.

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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Listed below are heights of a random sample of men and women.
Men
Women
170.8 175.2 175.7
177.3
188.0 166.8 177.7 176.9 174.8 176.0
161.0 168.2 166.0 153.7 159.6 176.8 169.1 135.4 164.3 170.6
a. Construct a 96% 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: 2* or t*
Margin of Error: E =
Confidence Interval: [
=
b. Interpret your result in part (a) in a complete sentence.
Transcribed Image Text:Listed below are heights of a random sample of men and women. Men Women 170.8 175.2 175.7 177.3 188.0 166.8 177.7 176.9 174.8 176.0 161.0 168.2 166.0 153.7 159.6 176.8 169.1 135.4 164.3 170.6 a. Construct a 96% 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: 2* or t* Margin of Error: E = Confidence Interval: [ = b. Interpret your result in part (a) in a complete sentence.
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