Probability and Statistics

(b) Suppose that the null hypothesis is 1 6 {1, 2, 2.4}, and that the alternative hypothesis is 1 & {1, 2, 2.4}. The samples are X1 = 1, X2 = 1, X3 = 2, X4 = 3, X5 = 4. Compute the value do that maximizes the likelihood function among the set { 1, 2, 2.4} .Let the critical region for this likelihood test to be c = {(X1,...,Xn) : 2%))