Refer to the chapter appendix in order to derive the mean of the sampling distribution of the sample variances for a sample of n observations from a population of N members when the population variance is 2 By appropriately modifying the argument regarding variances in the chapter appendix, show that E s2 N2 (N 1) Note the intuitive plausibility of this result when n N

Question: Refer to the chapter appendix in order to derive the mean of the sampling distribution of the sample variances for a sample of n observations

Refer to the chapter appendix in order to derive the mean of the sampling of the sample variances for a sample of n observations from a population of N members when the population variance is σ2. By appropriately modifying the argument regarding variances in the chapter appendix, show that
E[s2] = Nσ2 / (N – 1)
Note the intuitive plausibility of this result when n = N.

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