Please review question below.

4. [6 points] Suppose X1..... Xn is a random sample from a N(j. 2) distribution, where / is unknown and o2 is known. "Then the 100(1 -0)% confidence interval for / is (C1, C2) where C1 = X - 2,/2 . 0/ Vn and C2 = X +20/2. 0/ VR. (a) [3 points] With the observed data 21.... . I'm, one can compute the 100(1 - a )% confidence interval as ( - za/2 . 0/ Vn. B+ 2./2 .0/Vn). A researcher claims that this computed confidence interval contains a with probability 1- n. Is his interpretation correct? Justify your answer. (b) [3 points] A researcher claims that (201, 202) is the 100(1 -0 )% confidence interval for 2p. Is it correct? Justify your