Question: Let X 1 , , X n be a simple random sample from some finite population of values {x 1 , x N }. Is

Let X1, , Xn be a simple random sample from some finite population of values {x1, xN }.

Is the estimate (1/n)i=1nf(Xi)

always unbiased for (1/N)i=1Nf(Xi)

no matter what f is (you can assume that f(xi) < for all xi in the population)?

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