Let Xn be the sample mean from a random sample. Consider the estimators b Xn, e

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Let Xn be the sample mean from a random sample. Consider the estimators bµ Æ Xn, eµ Æ Xn ¡c, and µ Æ cXn for 0 Ç c Ç 1.

(a) Calculate the bias and variance of the three estimators.

(b) Compare the estimators based on MSE.

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