If X 1 , X 2 , and X 3 constitute a random sample of size n 3 from a normal population with the mean and the variance 2 , find the efficiency of X 1 2X 2 X 3 4 relative to X 1 X 2 X 3 3 as estimates of

Question: If X 1 , X 2 , and X 3 constitute a random sample of size n = 3 from a normal population with the

If X₁, X₂, and X₃ constitute a random sample of size n = 3 from a normal population with the mean µ and the variance σ², find the efficiency of X₁ + 2X₂ + X₃ / 4 relative to X₁ + X₂ + X₃ / 3 as estimates of µ.

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