A firm has a generous but rather complicated policy concerning end-of-year bonuses for i...

A firm has a generous but rather complicated policy concerning end-of-year bonuses for its lower-level managerial personnel. The policy’s key factor is a subjective judgment 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 percentage of yearly salary. The data are listed here:

a. Identify the value of the pooled-variance t statistic (the usual t test based on the equal variance assumption).

b. Identify the value of the t statistic.

c. Use both statistics to test the research hypothesis of unequal means at α = .05 and at α = .01. Does the conclusion depend on which statistic is used?