Let X1,…' ,Xn and Y1,…,Yn be two independent samples. And suppose X1,…,Xn are iid N(µ1,1) and Y1,, Yn are iid N(u2,1). (a) Find a pivotal quantity for µ1 – H2. (b) Suppose n = 18,x = 3 and y = 5, find a 95% confidence interval for u1 - 42.

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