A firm has a generoll.s bllt rather complicated policy concerning end-of-year bontl.ses for its lower-level managerial personnel. The policy's key factor is a subjective judgment of "contribution to corporate A personnel officer took samples of 24 female and 36 malc managers to see whether there was any difference in bonuses, as a percentage of yearly salary. Thc data are listed here: Gender 92 80 104 9.7 87 9.3 Bonus Percentage 7.7 9.9 9.6 8.9 9.1 9.6 10.4 11.9 73 11.7 8.8 92 11.9 62 8.4 90 12.0 7.9 9.7 9.0 9.0 9.3 9.0 87 9.9 89 120 8.4 9.1 8.4 9.4 10.0 92 9.6 3 6.9 8.7 9.8 10.1 9.4 9.2 7.6 92 9.0 9.0 9.7 9.9 7.4 9.1 9.2 11.4 8.9 9.0 Figllre 3: Exercise a What arc the populations of interest, in this study? b Is there significnnt evidence that thc mean bonus percentage for males is more than five units larger than thc mean boml.s percentage for females? Use 0.05. c What is thc level of significance of your test? d Estimate thc differcncc in thc mean bonus percentages for males and females using a 95% confidence interval