Table 5.14 gives the yearly starting salaries for male and female bachelor's degree graduates who majored in the social sciences.

a. Find and interpret a \(99 \%\) confidence interval for the difference in the population mean salaries between males and females.

b. Do males with bachelor's degrees in the social sciences get paid more than females? Explain.

Table 5.14

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Yearly Starting Salaries (in Dollars) for Male and Female Bachelor's Degree Graduates in the Social Sciences Females Males 46,500 52,260 53,240 58,390 49,685 61,480 53,555 53,280 58,675 49,350 42,500 48,200 53,550 56,570 54,650 62,150 48,290 33,860 50,500 58,250 55,650 50,150 51,250 42,700 52,650 61,640 53,000 53,640 51,220 51,600 56,690 49,500 47,230 53,850 45,700 55,100