Find the value of the test statistic W and the p-value. (Round your answer to four decimal places.)

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
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7. You may need to use the appropriate appendix table or technology to answer this question.
The gap between the earnings of men and women with equal education is narrowing but has not closed. Sample data for seven men and seven women with bachelor's degrees are as follows. Data are shown in thousands of dollars.
Men Women
31.6 44.5
86.5 46.4
56.2 30.9
68.2 41.5
47.2 36.8
59.9 50.5
66.3 24.8
(a)
What is the median salary (in $) for men? For women?
 
(b)
Use ? = 0.05 and conduct the hypothesis test for identical population distributions.
State the null and alternative hypotheses.
- H0: The two populations of salaries are not identical.
Ha: The two populations of salaries are identical
H0: Median salary for men − Median salary for women > 0
Ha: Median salary for men − Median salary for women = 0 
- H0: Median salary for men − Median salary for women ≥ 0
Ha: Median salary for men − Median salary for women < 0
- H0: The two populations of salaries are identical.
Ha: The two populations of salaries are not identical.
- H0: Median salary for men − Median salary for women ≤ 0
Ha: Median salary for men − Median salary for women > 0
 
* Find the value of the test statistic W and the p-value. (Round your answer to four decimal places.)
 
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