The federal government is interested in determining whether salary discrepancies exist between men and women in the private sector. Suppose random samples of 15 women and 21 men are drawn from the population of first-level managers in the private sector. The information is summarized in the table below:
TABLE INCLUDED IN ATTACHMENT
Test at the 5% level of significance, whether the true variance in the salaries of men is higher.
*Please show all your work*?
H0 : 2m = 2w
Ha : 2m > 2w
F = s12/s22 = 52062/46002 = 1.2808
Degree of freedom1 = 21-1 = 20
Degree of reedom2 = 15-1 = 14
Level of significance = 0.05
Fcritical = F0.05,20,14 = 2.3879
As F <…