In a state, 50,000 students graduated from four-year not for profit colleges in 2019. Out of...

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In a state, 50,000 students graduated from four-year not forprofit colleges in 2019. Out of these 50,000 graduates, 20,000students graduated from private colleges, and 30,000 studentsgraduated from public colleges. You have selected a stratifiedsample from the population of 2019 graduates in this state withgraduates from private and public colleges as the two strata. Foreach graduate in your sample, you recorded how much student debt,if any, the graduate carried at graduation. The results are asfollows: (1) Private college graduates: n1 = 400, X-bar-1 = 33,000,s1 = 15,000 (2) Public college graduates: n2 = 100, X-bar-2 =26,400, s2 = 6000 2(a) At a 99% level of confidence, test the nullhypothesis that the total debt of the 20,000 private collegegraduates, combined, did not exceed $600,000,000. 2(b) At a 99%level of confidence, test the null hypothesis that the average debtof a private college graduate did not exceed the average debt of apublic college graduate by more than $5000.

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