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In a company that was founded on fairness, the human resources manager was asked to perform...

  1. In a company that was founded on fairness, the human resources manager was asked to perform a study to determine if the females were paid less than the males. If the study indicated that there was a significant difference, then the women would all be given a 5% raise. To perform the study, female and male workers were paired based on years of experience working for the company to determine if there was a difference in the salaries. Their annual salary was then compared. The data is shown below.

Males 18 43 32 27 15 45 21 22

Females 16 38 35 29 15 46 25 28

a) Use a Mann-Whitney U rank test to determine if there is a difference in the salaries.
b) Based on the results, address the decision of whether the females should be given a raise.

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Answer #1

a.

b. There is no reason that the women would all be given a 5% raise since there is no significant difference in the salaries of Males and females.

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