Hi, I need help with this stats problem, thanks!

Problem 4. [20 pts] Suppose X1, X2. .... Xso is a random sample from a N(u, 2) distribution We want to test Ho : / = 3 against H1 : u # 3 with the level of significance a = 0.1. It is observe that the sample mean i = 3.6. (a) [10 pts] If it is known that o = 4, conduct an appropriate hypothesis test to get your conclusion by the method of computing the p-value. In this case, if / = 3.5, what is the power of the test? (b)[10 pts] If o is unknown and we have the sample standard deviation s = 3.8, conduct an ap propriate hypothesis test to get your conclusion. Do it in two ways using the statistical table provided: (1) finding the critical region; (2) finding the range of the p-value