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THE NEXT QUESTIONS ARE BASED ON THE FOLLOWING INFORMATION

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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> + 0.20 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 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.
2 = 0.25 X1 + 0.25 X2 + 0.30 X3 + 0.20 X4
-Which estimator is more efficient,( 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)or ( 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. 2)? Explain in detail.

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