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Are male professors and female professors rated differently? Perform a two-sample hypothesis test for the means on the given data. All requirements for this test

Are male professors and female professors rated differently? Perform a two-sample hypothesis test for the means on the given data. All requirements for this test have been met, except for testing the variances (standard deviations) to decide whether to POOL or NOT POOL. So, you need to check the variances (standard deviations) using the F-test. See problem #3 above. Usea = 0.05

Here are the ratings data:

Female 4.3 4.3 4.4 4.0 3.4 4.7 2.9 4.0 4.3 3.4 3.4 3.3
Male 4.5 3.7 4.2 3.9 3.1 4.0 3.8 3.4 4.5 3.8 4.3 4.4 4.1 4.2 4.0

Did you test the variances? _______ What was the p-value? ________

What was you decision? Pool: Yes or No

Ho: ______________________ Ha: ___________________

P-value: ___________________

Decision: _______________________________

Summary: ___

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