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THE NEXT QUESTIONS ARE BASED ON THE FOLLOWING INFORMATION

Question 73

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THE NEXT QUESTIONS ARE BASED ON THE FOLLOWING INFORMATION:
Suppose that x1 and x2 are random samples of observations from a population with mean μ and variance σ2.Consider the following three point estimators,X,Y,and Z,of μ: X = (x1 + x2)/2,Y = (x1 + 3x2)/4,and Z = (x1 + 2x2)/3.
-Which of the estimators X,Y,and Z is the most efficient?

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Var(X)= [Var(X1)+ Var(X2)]/4 = (σ2 + σ2)/4 =...

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