29. For a sample of size one from a normal population with known variance 25, show that the classical test of Ho-n = 50 versus Hi’./jl — 60 with a — .05 is a likelihood ratio test. That is, show that the rejection region can be expressed in the form LR <

c, where LR is the likelihood ratio and c is some constant. [Hint: Consider the equation LR < c and attempt to manipulate it algebraically to get the result X > k, where k is some constant, since you know that the rejection region must be of this form.]