A career counselor is interested in examining the salaries earned by graduate business school students at the end of the first year after graduation. In particular, the counselor is interested in seeing whether there is a difference between men and women graduates salaries. From random sample of 20 men, the mean salary is found to be 42 780 dollar with a sample standard deviation of 5 426 dollar. From a sample of 12 women, the mean salary is found to be 40 136 dollar with a sample standard deviation of 4 383 dollar. Assume that the random sample observations are from normally distributed populations, and that the population variances are assumed to be equal. What is the upper confidence limit of the 95% confidence interval for the difference between the population mean salary for men and women?
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