A firm has a generous but rather complicated policy concerning end-of-year bonuses for its lower-level managerial personnel. The policy's key component is a subjective judgment of "contribution to corporate goals." A personnel officer takes samples of 8 female and 8 male managers to see if there is evidence of any differences in average bonuses, expressed as a percentage of yearly salary. The data are listed here:
Gender Bonus Percentage
F 9.2 7.7 11.9 6.2 9.0 8.4 6.9 7.6 7.4 8.0 9.9 6.7 8.4 9.3 9.1 8.7 9.2 9.1 8.4 9.6 7.7 9.0 9.0 8.4
M 10.4 8.9 11.7 12.0 8.7 9.4 9.8 9.0 9.2 9.7 9.1 8.8 7.9 9.9 10.0 10.1 9.0 11.4 8.7 9.6 9.2 9.7 8.9 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. What are the populations of interest in this study?
B. Is there significant evidence that mean bonus percentage for males is ore than five units larger than the mean bonus percentage for females? Use a = 0.05
C. What is the level of significance of your test?
D. Estimate the difference in the mean bonus percentages for males and females using a 95% confindence interval.