Solution Found!
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(choose chapter or problem)
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)
Questions & Answers
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.