Suppose that Y1, Y2,..., Yn constitute a random sample from a normal distribution with

Chapter 8, Problem 8.16

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Suppose that Y1, Y2,..., Yn constitute a random sample from a normal distribution with parameters and 2. 1 a Show that S = S2 is a biased estimator of . [Hint:Recall the distribution of(n1)S2/2 and the result given in Exercise 4.112.] b Adjust S to form an unbiased estimator of . c Find an unbiased estimator of z, the point that cuts off a lower-tail area of under this normal curve

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