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Suppose we have a random sample size of 2n from a population denoted by X, and E(X) = and V (x) = 2 . Let

Suppose we have a random sample size of 2n from a population denoted by X, and E(X) = and V (x) = 2 . Let X 1 = 1 2n X 2n i=1 Xi and X 2 = 1 n Xn i=1 Xi be the two estimators of . Which is the better estimator of ? Explain your choice using bias, standard error, and mean square error.

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