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. 15 recent graduates with master’s degrees in engineering and 11 with master’s degrees in business are surveyed and the results are summarized below:   n ?̅ s business 15 68535 1627 engineering 11 63230 2033 a. Construct a 95% 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.

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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. 15 recent graduates with master’s degrees in engineering and 11 with master’s degrees in business are surveyed
and the results are summarized below:

  n s
business 15 68535 1627
engineering 11 63230 2033

a. Construct a 95% 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.

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