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Let X1,X2,X3,and X4 Be a Random Sample of Observations from a Population

Question 14

Multiple Choice

Let X1,X2,X3,and X4 be a random sample of observations from a population with mean μ and variance σ2.Consider the following estimator of μ: 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 estimator of μ: <sub>1</sub> = 0.15 X<sub>1</sub> + 0.35 X<sub>2</sub> + 0.20 X<sub>3</sub> + 0.30 X<sub>4</sub>.What is the variance of <sub>1</sub>? A) 0) 20 σ<sup>2</sup> B) 0) 275 σ<sup>2</sup> C) 0) 55 σ<sup>2</sup> D) 0) 125 σ<sup>2</sup> 1 = 0.15 X1 + 0.35 X2 + 0.20 X3 + 0.30 X4.What is the variance of 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 estimator of μ: <sub>1</sub> = 0.15 X<sub>1</sub> + 0.35 X<sub>2</sub> + 0.20 X<sub>3</sub> + 0.30 X<sub>4</sub>.What is the variance of <sub>1</sub>? A) 0) 20 σ<sup>2</sup> B) 0) 275 σ<sup>2</sup> C) 0) 55 σ<sup>2</sup> D) 0) 125 σ<sup>2</sup>
1?


A) 0) 20 σ2
B) 0) 275 σ2
C) 0) 55 σ2
D) 0) 125 σ2

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