題組內容

III. (25%) Suppose that the starting salaries of female managers have a positively skewed distribution with mean of $56,000 and a standard deviation of $12,000. The starting salaries of male managers are positively skewed with a mean of $50,000 and a standard deviation of $10,000. A random sample of 50 female managers and a random sample of 40 male managers are selected.

(b) Describe the sampling distribution of the differences between the average salaries of male and female managers, including its expected value and standard error.