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From a population of size N with finite variance, a simple random sample of size n is drawn without replacement, and a real-valued characteristic X

From a population of size N with finite variance, a simple random sample of size n is drawn without replacement, and a real-valued characteristic X measured to yield observations Xj(j =1,..., n).

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(c) Show that as n, N > +00 and 7\" = n / N > 0 and the population variance is always less than M for all N, the difFerence between the expected squared errors of the two estimators is 00\")

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