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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.

Definitions:

Peripheral Vision

The portion of vision that occurs outside the direct line of sight, enabling humans to detect movement and objects around them without directly looking at them.

Rods

In the eye, rod-shaped receptors of light that are sensitive to intensity only. Rods permit black-and-white vision.

Newborns

Refers to infants from birth to about 2 months of age, characterized by rapid physical and neurological development.

Depth Perception

The ability to perceive the distance of an object and the spatial relationship between objects in the environment.

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