THE NEXT QUESTIONS ARE BASED ON THE FOLLOWING INFORMATION:
Let X₁,X₂,X₃,and X₄ be a random sample of observations from a population with mean μ and variance σ².Consider the following two point estimators of μ:
₁ = 0.10 X₁ + 0.20 X₂ + 0.40 X₃ + 0.30 X₄,and
₂ = 0.25 X₁ + 0.25 X₂ + 0.30 X₃ + 0.20 X₄
-Which estimator is more efficient,( ₁)or ( ₂)? Explain in detail.

Question

THE NEXT QUESTIONS ARE BASED ON THE FOLLOWING INFORMATION:
Let X₁,X₂,X₃,and X₄ be a random sample of observations from a population with mean μ and variance σ².Consider the following two point estimators of μ:

THE NEXT QUESTIONS ARE BASED ON THE FOLLOWING INFORMATION: Let X<sub>1</sub>,X<sub>2</sub>,X<sub>3</sub>,and X<sub>4</sub> be a random sample of observations from a population with mean μ and variance σ<sup>2</sup>.Consider the following two point estimators of μ: <sub>1</sub> = 0.10 X<sub>1</sub> + 0.20 X<sub>2</sub> + 0.40 X<sub>3</sub> + 0.30 X<sub>4</sub>,and <sub>2</sub> = 0.25 X<sub>1</sub> + 0.25 X<sub>2</sub> + 0.30 X<sub>3</sub> + 0.20 X<sub>4</sub> -Which estimator is more efficient,( <sub>1</sub>)or ( <sub>2</sub>)? Explain in detail.

₁ = 0.10 X₁ + 0.20 X₂ + 0.40 X₃ + 0.30 X₄,and

₂ = 0.25 X₁ + 0.25 X₂ + 0.30 X₃ + 0.20 X₄
-Which estimator is more efficient,(

₁)or (

₂)? Explain in detail.

Quizplus · Accepted Answer

The Answer of THE NEXT QUESTIONS ARE BASED ON THE FOLLOWING INFORMATION: Let X 1 ,X 2 ,X 3 ,and X 4 be a random sample of observations from a population with mean μ and variance σ 2 .Consider the following two point estimators of μ: 1 = 0.10 X 1 + 0.20 X 2 + 0.40 X 3 + 0.30 X 4 ,and 2 = 0.25 X 1 + 0.25 X 2 + 0.30 X 3 + 0.20 X 4 -Which estimator is more efficient,( ₁)or ( ₂)? Explain in detail.