Based on a sample of 80 recent MBA graduates (40 male and 40 female), the following information was made available regarding their annual salaries. The standard deviation of salaries for the male graduates was $40,000 and that for the female graduates was $25,000. (a) For the male graduates, what is the probability of obtaining a sample mean salary within $10,000 of the population mean? (b) Consider the same question in (a) but for the female graduates. In which case, males or females, do we have a higher probability of obtaining a sample estimate within $10,000 of the population mean? Why? (c)  Suppose that the sample mean salary of females is $125,000. Develop a 95% confidence interval estimate for the mean salary of all female graduates.

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