A sample of 79 female workers and another sample of 51 male workers from a state produced mean weekly earnings of $ 728.22 for the females and $761.88 for the males. Suppose that the population standard deviations of the weekly earnings are $ 75.84 for all females and $ 102.10 for all males. The null hypothesis is that the mean weekly earnings are the same for females and males, while the alternative hypothesis is that the mean weekly earnings for females is less than the mean weekly earnings for males. Derive the corresponding 95% confidence interval, rounded to two decimal places, for the difference between the mean weekly earnings for all female and male workers in this state. to i

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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A sample of 79 female workers and another sample of 51 male workers from a state produced mean weekly earnings of $728.22 for
the females and $761.88 for the males. Suppose that the population standard deviations of the weekly earnings are $ 75.84 for all
females and $ 102.10 for all males. The null hypothesis is that the mean weekly earnings are the same for females and males, while the
alternative hypothesis is that the mean weekly earnings for females is less than the mean weekly earnings for males.
Derive the corresponding 95% confidence interval, rounded to two decimal places, for the difference between the mean weekly
earnings for all female and male workers in this state.
to i
Transcribed Image Text:A sample of 79 female workers and another sample of 51 male workers from a state produced mean weekly earnings of $728.22 for the females and $761.88 for the males. Suppose that the population standard deviations of the weekly earnings are $ 75.84 for all females and $ 102.10 for all males. The null hypothesis is that the mean weekly earnings are the same for females and males, while the alternative hypothesis is that the mean weekly earnings for females is less than the mean weekly earnings for males. Derive the corresponding 95% confidence interval, rounded to two decimal places, for the difference between the mean weekly earnings for all female and male workers in this state. to i
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