Question: A university administrator wishes to know if there is a difference in average starting salary for graduates with master's degrees in engineering and those with master's degrees in business. Fifteen recent graduates with master's degree in engineering and 11 with master's degrees in business are surveyed and the results are summarized below.
a. Construct the 90% confidence interval for the difference in the population means based on these data.
b. Test, at the 10% level of significance, whether the data provide sufficient evidence to conclude that the average starting salaries are different.