Question: A random sample (A1,A2) of size n=2 is selected from a population with unknown expectation and unknown variance ^2. 1. Is T0=1/4 A1+2/3 A2 an

A random sample (A1,A2) of size n=2 is selected from a population with unknown expectation and unknown variance ^2.

1. Is T0=1/4 A1+2/3 A2 an unbiased estimator for ?

2. Under what conditions for constants a and b is T=aA1+bA2 an unbiased estimator for ?

3. Calculate pair a and b that make unbiased estimator at 2. most efficient

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