Given the problem below, show that the most powerful test of size ? = 0.05 is given by ?:?????? ?? ?? ?? >??.???.

Let X1,X2, "115 be a random sample from a Normal distribution with mean ,u and variance 16. Show that a most powerful test of size ac = 0.05 for testing the hypothesis Ho: p. = 10 versus Ha: ,u = 15 is given by l": Reject H.J if)? > 11. 645 Hint: Use Ex;- = n)