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THE NEXT QUESTIONS ARE BASED ON THE FOLLOWING INFORMATION

Question 56

Multiple Choice

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


A) Var( 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) = Var( 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
B) Var( 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 2) 1) > Var( 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 2)
C) Var( 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) < Var( 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 2)
D) 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 = 0.76

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