Problem 7. Suppose X1,..., Xn ~i.i.d. with E[X;] = Var (X;) = ME (0,co). 1. Using Xn, construct an approximate 95% confidence interval for u. 2. Using Xn, define a test statistic and choose a critical value for a hypothesis test of Ho : M= 25, H1 : M # 25 at approximate significance level 5%. 3. Suppose that n = 50 and Xn = 26.4 in a certain dataset. Does 25 lie in the confidence interval you constructed in (a)? Will you reject the null in the test you constructed in (b)