The Master of Business Administration (M.B.A.) degree typically prepares its possessors for a high-salaried position, most often in business or industry. So, a reasonable measure of the effectiveness of an M.B.A. program is the median salary of its graduates five years after graduation. The table gives the tuition paid and the median five-year-out salary for graduates of sixteen highly ranked private M.B.A. programs.

Find the 95% confidence interval for E(Y |102). Harvard€™s tuition during this time period was $102,000. Does the interval include the Harvard graduate median salary of $215,000?

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Tuition (S thousands) Median Salary ($ thousands) University 5 Georgetown Vanderbilt Dartmouth Northwestern 0 Carnegie Mellon umbia