Consider the distributions N(X , 400) and N(Y , 225). Let = X Y . Say x and y denote the

Chapter 8, Problem 8.2-17

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Consider the distributions N(X , 400) and N(Y , 225). Let = X Y . Say x and y denote the observed means of two independent random samples, each of size n, from the respective distributions. Say we reject H0: = 0 and accept H1: > 0 if x y c. Let K() be the power function of the test. Find n and c so that K(0) = 0.05 and K(10) = 0.90, approximately.

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