Question
a. Random samples of 20 women and 25 men are selected from the population of first-level managers of a health organization. The table provides salary
a. Random samples of 20 women and 25 men are selected from the population of first-level managers of a health organization. The table provides salary information (in $1000).
Women | Men |
56.8 | 52.1 |
53.3 | 61.8 |
62.9 | 63.1 |
60.8 | 57.6 |
58.6 | 62.1 |
50.2 | 65.6 |
64.3 | 66.8 |
57.8 | 71.4 |
57.9 | 62.8 |
58.0 | 63.8 |
63.8 | 52.2 |
58.8 | 71.2 |
60.2 | 59.2 |
55.2 | 62.9 |
61.2 | 66.2 |
63.4 | 65.9 |
61.1 | 52.5 |
54.6 | 66.9 |
56.3 | 70.4 |
57.4 | 60.1 |
| 60.6 |
| 68.4 |
| 64.2 |
| 62.9 |
| 63.2 |
b. Perform an appropriate test to determine if the variances for women salaries and men salaries are different. Use alpha = 0.05(State the null and the alternative hypothesis, determine a critical value, present a test statistic, and provide a p-value and your decision.)
Using your result in part a, perform an appropriate test to determine if the mean salaries for women and men are different. Use alpha =0.05(State the null and the alternative hypothesis, determine a critical value, present a test statistic, and provide a p-value and your decision.)
c. Provide an interpretation of the p-value in part b.
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