Question: Let X1, X2, .. , X7 denote a random sample from a population having mean and variance. Consider the following estimators of μ: (a) Is

Let X1, X2, .. , X7 denote a random sample from a population having mean and variance. Consider the following estimators of μ:


+ X, X + X + 2X, - X, + X4 2

(a) Is either estimator unbiased?
(b) Which estimator is best? In what sense is it best?

+ X, X + X + 2X, - X, + X4 2

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