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You are trying to determine whether male and female Central Bank employees, having equal qualifications, receive different salaries. The data contain the salaries (in thousands of dollars) for 9 male and 9 female employees. Assume salaries are normally distributed.
a. Assume that each row of data represents paired observations, and using alpha=0.05, can you conclude that members of different genders are paid equally? Be sure to write down your hypothesis.
b. How would you collect data to ensure that the observations are actually paired?
Salaries of men and women
Woman
Man
26
29
28
31
30
33
32
34
48
56
52
54
22
27
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