Kindly solve this plz

3 (25 points) Let X1,X2, ...,X,. be independent Uniform(9,9 + 1) distributed random vari- ables. For testing Hg : 6' = [I vs H1 :9 2:- I]. 1. Find the level o: uniformly meet powerful test. {13 points} 2. Calculate its power and compare it with the power of a naive test which rejects the null if X1 2:: 1 oc. Use your calculation to Show that the power of the former is indeed larger. {7 points)