I. Textbook Problems (Casella and Berger 2nd Ed) : 8.18 Let X1, , Xn be a random sample from a normal distribution N (9, 02) population, 02 known. Given Ho: 6 = 60 versus H1: 9 st 60 (a) Show that LRT will reject Ho if |X so Mos/Jr?) > c. (b) Find the expression, in terms of standard normal probabilities, for the power function of this test. (c) The experimenter desires a Type 1 Error probability of 0.05 and a maximum Type 11 Error probability of 0.25 at 6 = 90 + 0. Find values of n and c that will achieve this