Let X1, X2,..., X be iid observations from a N(μ,²) distribution with known variance σ' a) Formulate the likelihood ratio test for testing Hoμ=2vs.H₁u=2 b) Derive the formulas needed to determine the sample size n and the critical value c such that the size of the test is 0.05 and the probability of type-II error when =2.5 is 0.1. c) If we collect 16 samples and observed x=2.4, and the population standard deviation is 0.4, compute the p-value based on the data for the test in a). Will you reject Ho at level a=0.05 based on the p-value calculated? Hint: In case you have difficulty deriving rejection region in part a), please consider the rejection region (x-2) σινη ==α12 for part b) and c).