Problem 14.2 Assume that X1, X2, Xa form a random sample from a normal distribution for which ... the mean is unknown and the variance is 1. Suppose the following are to be tested: Ho:0 H:>0 Let 5* denote the UMP test of these hypotheses at the level of significance = 0.025 and let 77 ( | 5*) denote the power function of the test procedure 5*. a) The UMP test rejects Ho when Xc. Determine the appropriate value for C. C= Enter Numerical Answer b) Determine the smallest value of the sample size n for which 77 (|*) 0.9 for all 0.5. Smallest n: Enter Numerical Answer