Please review the question below.

Q4 Q4 20 Points Problem 4. [20 pts] Suppose X1, X2, ..., Xso is a random sample from a N(u, o?) distribution. We want to test Ho : / = 3 against H1 : p / 3 with the level of significance o = 0.1. It is observed that the sample mean a = 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 u = 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 tables provided: (1) finding the critical region; (2) finding the range of the p-value