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THE NEXT QUESTIONS ARE BASED ON THE FOLLOWING INFORMATION

Question 130

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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 statements is true? A) <sub>1</sub> is biased,but <sub>2</sub> is an unbiased estimator of μ. B) <sub>1</sub> is unbiased,but <sub>2</sub> is a biased estimator of μ. C) Both <sub>1</sub> and <sub>2</sub> are unbiased estimators of μ. D) Both <sub>1</sub> and <sub>2</sub> are biased estimators of μ.
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 statements is true? A) <sub>1</sub> is biased,but <sub>2</sub> is an unbiased estimator of μ. B) <sub>1</sub> is unbiased,but <sub>2</sub> is a biased estimator of μ. C) Both <sub>1</sub> and <sub>2</sub> are unbiased estimators of μ. D) Both <sub>1</sub> and <sub>2</sub> are biased estimators of μ.
2 = 0.20 X1 + 0.30 X2 + 0.30 X3 + 0.20 X4
-Which of the following statements is true?


A) 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 statements is true? A) <sub>1</sub> is biased,but <sub>2</sub> is an unbiased estimator of μ. B) <sub>1</sub> is unbiased,but <sub>2</sub> is a biased estimator of μ. C) Both <sub>1</sub> and <sub>2</sub> are unbiased estimators of μ. D) Both <sub>1</sub> and <sub>2</sub> are biased estimators of μ.
1 is biased,but
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 statements is true? A) <sub>1</sub> is biased,but <sub>2</sub> is an unbiased estimator of μ. B) <sub>1</sub> is unbiased,but <sub>2</sub> is a biased estimator of μ. C) Both <sub>1</sub> and <sub>2</sub> are unbiased estimators of μ. D) Both <sub>1</sub> and <sub>2</sub> are biased estimators of μ.
2 is an unbiased estimator of μ.
B) 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 statements is true? A) <sub>1</sub> is biased,but <sub>2</sub> is an unbiased estimator of μ. B) <sub>1</sub> is unbiased,but <sub>2</sub> is a biased estimator of μ. C) Both <sub>1</sub> and <sub>2</sub> are unbiased estimators of μ. D) Both <sub>1</sub> and <sub>2</sub> are biased estimators of μ.
1 is unbiased,but
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 statements is true? A) <sub>1</sub> is biased,but <sub>2</sub> is an unbiased estimator of μ. B) <sub>1</sub> is unbiased,but <sub>2</sub> is a biased estimator of μ. C) Both <sub>1</sub> and <sub>2</sub> are unbiased estimators of μ. D) Both <sub>1</sub> and <sub>2</sub> are biased estimators of μ.
2 is a biased estimator of μ.
C) Both 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 statements is true? A) <sub>1</sub> is biased,but <sub>2</sub> is an unbiased estimator of μ. B) <sub>1</sub> is unbiased,but <sub>2</sub> is a biased estimator of μ. C) Both <sub>1</sub> and <sub>2</sub> are unbiased estimators of μ. D) Both <sub>1</sub> and <sub>2</sub> are biased estimators of μ.
1 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 statements is true? A) <sub>1</sub> is biased,but <sub>2</sub> is an unbiased estimator of μ. B) <sub>1</sub> is unbiased,but <sub>2</sub> is a biased estimator of μ. C) Both <sub>1</sub> and <sub>2</sub> are unbiased estimators of μ. D) Both <sub>1</sub> and <sub>2</sub> are biased estimators of μ.
2 are unbiased estimators of μ.
D) Both 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 statements is true? A) <sub>1</sub> is biased,but <sub>2</sub> is an unbiased estimator of μ. B) <sub>1</sub> is unbiased,but <sub>2</sub> is a biased estimator of μ. C) Both <sub>1</sub> and <sub>2</sub> are unbiased estimators of μ. D) Both <sub>1</sub> and <sub>2</sub> are biased estimators of μ.
1 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 statements is true? A) <sub>1</sub> is biased,but <sub>2</sub> is an unbiased estimator of μ. B) <sub>1</sub> is unbiased,but <sub>2</sub> is a biased estimator of μ. C) Both <sub>1</sub> and <sub>2</sub> are unbiased estimators of μ. D) Both <sub>1</sub> and <sub>2</sub> are biased estimators of μ.
2 are biased estimators of μ.

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