Question: 10.1.2 Let X I , . . . , Xn and Y1, . . . , Y, be two random samples from distributions with means

10.1.2 Let X I , . . . , Xn and Y1, . . . , Y, be two random samples from distributions with means p1 and p2, respectively, and the same variance u2. (i) Find E ( x - y)

and Var(X - y). (ii) Assuming that p1 = p2 and both samples are of equal size, find n = m such that P(lX - 71 > u / 4 ) 5 0.05.

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