A firm has a genrous but rather complicated policy concerning end of year bonuses for it's lower level managerial personnel. The policy's key factor is a subjective judgement of contribution to corporate goals. A personnel officer took samples of 24 female and 36 male managers to see whether there was any difference in bonuses, expressed as a perentage of yearly salary the data are listed here: Female Male 9.2 10.4 7.7 8.9 11.9 11.7 6.2 12.0 9.0 8.7 8.4 9.4 6.9 9.8 7.6 9.0 7.4 9.2 8.0 9.7 9.9 9.1 6.7 8.8 8.4 7.9 9.3 9.9 9.1 10.0 8.7 10.1 9.2 9.0 9.1 11.4 8.4 8.7 9.6 9.6 7.7 9.2 9.0 9.7 9.0 8.9 8.4 9.2 9.4 9.7 8.9 9.3 10.4 11.9 9.0 12.0 9.6 9.2 9.9 9.0
A firm has a genrous but rather complicated policy concerning end of year bonuses for it's lower level managerial personnel. The policy's key factor is a subjective judgement of contribution to corporate goals. A personnel officer took samples of 24 female and 36 male managers to see whether there was any difference in bonuses, expressed as a perentage of yearly salary the data are listed here:
|
Female |
Male |
|
9.2 |
10.4 |
|
7.7 |
8.9 |
|
11.9 |
11.7 |
|
6.2 |
12.0 |
|
9.0 |
8.7 |
|
8.4 |
9.4 |
|
6.9 |
9.8 |
|
7.6 |
9.0 |
|
7.4 |
9.2 |
|
8.0 |
9.7 |
|
9.9 |
9.1 |
|
6.7 |
8.8 |
|
8.4 |
7.9 |
|
9.3 |
9.9 |
|
9.1 |
10.0 |
|
8.7 |
10.1 |
|
9.2 |
9.0 |
|
9.1 |
11.4 |
|
8.4 |
8.7 |
|
9.6 |
9.6 |
|
7.7 |
9.2 |
|
9.0 |
9.7 |
|
9.0 |
8.9 |
|
8.4 |
9.2 |
|
|
9.4 |
|
|
9.7 |
|
|
8.9 |
|
|
9.3 |
|
|
10.4 |
|
|
11.9 |
|
|
9.0 |
|
|
12.0 |
|
|
9.6 |
|
|
9.2 |
|
|
9.9 |
|
|
9.0 |
Are the datasets for FEMALE and MALE
You should have found that one of the gender’s data was not normally distributed .
Compare FEMALE and MALE using the independent samples t-test and U-test (or rank-sum test):
Write up the tests
State which test should be believed given what you figured out in part (b).
Compare the tests and see whether they agree or disagree.
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