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 + 0.40 X₂ + 0.40 X₃ + 0.10 X₄ and
₂ = 0.20 X₁ + 0.30 X₂ + 0.30 X₃ + 0.20 X₄
-Which of the following constraints is true?

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> + 0.40 X<sub>2</sub> + 0.40 X<sub>3</sub> + 0.10 X<sub>4</sub> and <sub>2</sub> = 0.20 X<sub>1</sub> + 0.30 X<sub>2</sub> + 0.30 X<sub>3</sub> + 0.20 X<sub>4</sub> -Which of the following constraints is true? A) Var( <sub>1</sub>) = Var( B) Var( <sub>2</sub>) <sub>1</sub>) > Var( <sub>2</sub>) C) Var( <sub>1</sub>) < Var( <sub>2</sub>) D) = 0.76

₁ = 0.10 X₁ + 0.40 X₂ + 0.40 X₃ + 0.10 X₄ and

₂ = 0.20 X₁ + 0.30 X₂ + 0.30 X₃ + 0.20 X₄
-Which of the following constraints is true?

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 + 0.40 X 2 + 0.40 X 3 + 0.10 X 4 and 2 = 0.20 X 1 + 0.30 X 2 + 0.30 X 3 + 0.20 X 4 -Which of the following constraints is true? A)Var( ₁)= Var( B)Var( ₂)₁)> Var( ₂) C)Var( ₁)< Var( ₂) D) = 0.76