8.18 Let X1, .... Xn be a random sample from a normal distribution N(8, o2) population, o2 known. Given Ho: 0 = 0 versus H1: 0 # 60 (a) Show that LRT will reject Ho if |X - Bol/(o/ vn) >c. (b) Find the expression, in terms of standard normal probabilities, for the power function of this test. (c) The experimenter desires a Type I Error probability of 0.05 and a maximum Type II Error probability of 0.25 at 0 = 6 + o. Find values of n and c that will achieve this