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A study compares the life expectancies of 25-year-old white women in the labor force to those who are housewives. How large a sample would have to be taken from each group in order to be 95% confident that the estimate of difference in average life expectancies for the two groups is within 5 years of the true difference in average life expectancies? Assume that equal sample sizes will be selected from the two groups and that the standard deviation for both groups is approximately 23 years. What sample size is required under these conditions? (Round up to the nearest integer.)

A study compares the life expectancies of 25-year-old white women in the labor force to those who are housewives. How large a sample would have to be taken from each group in order to be 95% confident that the estimate of difference in average life expectancies for the two groups is within 5 years of the true difference in average life expectancies? Assume that equal sample sizes will be selected from the two groups and that the standard deviation for both groups is approximately 23 years. What sample size is required under these conditions? (Round up to the nearest integer.)

Calculus For The Life Sciences
Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter13: Probability And Calculus
Section13.2: Expected Value And Variance Of Continuous Random Variables
Problem 10E
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A study compares the life expectancies of 25-year-old white women in the labor force to those who are housewives. How large a sample would have to be taken from each group in order to be 95% confident that the estimate of difference in average life expectancies for the two groups is within 5 years of the true difference in average life expectancies? Assume that equal sample sizes will be selected from the two groups and that the standard deviation for both groups is approximately 23 years. What sample size is required under these conditions? (Round up to the nearest integer.)
Transcribed Image Text:A study compares the life expectancies of 25-year-old white women in the labor force to those who are housewives. How large a sample would have to be taken from each group in order to be 95% confident that the estimate of difference in average life expectancies for the two groups is within 5 years of the true difference in average life expectancies? Assume that equal sample sizes will be selected from the two groups and that the standard deviation for both groups is approximately 23 years. What sample size is required under these conditions? (Round up to the nearest integer.)
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