I WILL BE HAPPY IF YOU CAN GIVE ME A DETAILED EXPLANATION TO THEQUESTION BELOW. THANK YOU IN ADVANCE

2. (20 points) Suppose that X1, X2, . . . , Xn are independently and identically distributed according to the uniform distribution U (0,6). Let X01) be the nth order statistic of the sample and let our test rule is 60(X) = 1 if X01) 2 c and 64X) 2 0 otherwise. (a) Compute the power function of 6C and show that it is a monotone increasing function of 6. (b) In testing H0 : 0 S 1/2 versus H1 : 9 > 1/2, what choice of (3 would make (SC have size exactly 0.05? (c) How large should n be so that the (Sc specied in (b) has power 0.98 for 9 = 3/4? (d) If in a sample of size n = 20, X01) = 0.48, what is the pValue