Let X1, X2, X3, X4, X5 be a random sample from a N(Mu,1) distribution, where Mu is unknown. Suppose that we have observed the following values:5.45, 4

Let X1, X2, X3, X4, X5 be a random sample from a N(Mu,1) distribution, where Mu is unknown. Suppose that we have observed the following values:5.45, 4.23, 7.22, 6.94, 5.98We would like to decide between:H_0: Mu = Mu_0 = 5H_1: Mu ? 5Define a test statistic to test the hypotheses and draw a conclusion assuming Alpha = 0.05Find a 95% confidence interval around X_bar. Is Mu_0 included in the interval? How does the exclusion of Mu_0 in the interval relate to the hypotheses we are testing?