Let X1, X2, ... , Xn be a random sample from N(, 2), where 2 is known. (a) Show that Y =

Chapter 6, Problem 6.6-1

(choose chapter or problem)

Let X1, X2, ... , Xn be a random sample from N(, 2), where 2 is known. (a) Show that Y = (X1 + X2)/2 is an unbiased estimator of . (b) Find the RaoCramr lower bound for the variance of an unbiased estimator of for a general n. (c) What is the efficiency of Y in part (a)?

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