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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> + 0.40 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?


Definitions:

Discount Period

The time frame in which a payment can be made at a discounted rate from the total amount owed.

Perpetual

An inventory system where updates are made continuously to the inventory records, reflecting each sale or purchase.

Periodic Inventory System

An inventory system in which the inventory count and the cost of goods sold calculation are performed at set intervals, typically at the end of an accounting period.

Periodic Inventory System

An inventory accounting system where updates are made on a periodic basis, rather than continuously, often used for calculating cost of goods sold at the end of an accounting period.

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