We noted in Section 8.3 that if S2 = n i=1(Yi Y )2 n and S2 = n i=1(Yi Y )2 n 1 , then

Chapter 8, Problem 8.129

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QUESTION:

We noted in Section 8.3 that if S2 = n i=1(Yi Y )2 n and S2 = n i=1(Yi Y )2 n 1 , then S2 is a biased estimator of 2, but S2 is an unbiased estimator of the same parameter. If we sample from a normal population, a find V(S2). b show that V(S2) > V(S2)

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QUESTION:

We noted in Section 8.3 that if S2 = n i=1(Yi Y )2 n and S2 = n i=1(Yi Y )2 n 1 , then S2 is a biased estimator of 2, but S2 is an unbiased estimator of the same parameter. If we sample from a normal population, a find V(S2). b show that V(S2) > V(S2)

ANSWER:

Step 1 of 3

If and , then is a biased estimator of ,but is an unbiased estimator of the same parameter. We assume that the sample is from a normal population.

 

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