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  3. let x1 and x2 be two observations on an iid random

Let X1 and X2 be two observations on an iid random variable drawn from a population...

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Statistics

Let X1 and X2 be two observations on aniid random variable drawn from a population with mean μ andvariance σ2 (for example, the random variable could beincome; X1 could be person 1’s income and X2,person 2’s income). Which of the following is an unbiased estimatorof mean income?

All of these are unbiased estimators of mean income.

23X1+13X2

15X1+45X2

Which of the following is the “best” (that is, least-variance)estimator of mean income?

15X1+45X2

23X1+13X2

All of these are \"best\" estimators of mean income.

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