Question

Suppose that Y1 , Y2 ,..., Yn denote a random sample of size n from a normal population with mean μ and variance  2 .

Problem # 2: Suppose that Y , Y,,...,Y, denote a random sample of size n from a normal population with mean u and variance o . Then it can be shown that (n-1)S2 p_has a chi-square distribution with (n-1) degrees of freedom. o2 a. Show that S2 is an unbiased estimator of o. b. Show that S is a biased estimator of o. C. Find the unbiased estimator of o d. Find an unbiased estimator of u +2,0, the points that cuts off a upper tail area of a a under this normal curve.

Answer 1

We will use the info above

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