The distribution of starting salaries of men who received college degrees last year had a mean equal to 31000 and a standard deviation equal to 1200. A random sample of 36 starting salaries of women who received college degrees last year had a sample mean equal to 32200.
A.) What is the probability that a random sample of 36 starting salaries of men who graduated last year would have a sample mean at least as large as 32200?
B.) Based on your answer to part (a) does it appear that the starting salaries of women should be characterized by the same probability distribution as men's starting salaries?