Let denote the average debt of a 2017 graduate in this state.Construct a 95% confidence interval for .

5. In a state, 40,000 students graduated from four-year not for prot colleges in 2017. Out of these 40,000 graduates, 10,000 graduated from private colleges, and 30,000 graduated from public colleges. You have selected a stratied sample from the population of 2017 graduates in this state with graduates from public and private colleges as the two strata. For each graduate in your sample, you recorded how much student debt, if any, the graduate carried at graduation. The results are as follows: (1) Private college graduates: n1 = 400, X-bar-l = 24,000, s1 = 9000 (2) Public college graduates: n2 = 100, X-bar-2 = 18,000, s2 = 6000 Let p. denote the average debt of a 201'? graduate in this state. (This average is the average of the whole population of graduates, public and private combined.) Construct a 95% condence interval for u. (Show work)