and are the sample mean and sample variance from a population with mean and variance
Chapter 7, Problem 7-31(choose chapter or problem)
and are the sample mean and sample variance from a population with mean and variance Similarly, 2 and are the sample mean and sample variance from a second independent population with mean and variance . The sample sizes are and , respectively. (a) Show that 1 2 X X is an unbiased estimator of . 1 (b) Find the standard error of . How could you estimate the standard error? (c) Suppose that both populations have the same variance; that is, . Show that is an unbiased estimator of
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