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Section I: Multiple Choice Select the best answer for each question. A researcher

Chapter 7, Problem T7.6

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QUESTION:

Section I: Multiple choice  Select the best answer for each question.

A researcher initially plans to take an SRS of size n from a population that has mean 80 and standard deviation 20. If he were to double his sample size (to 2n), the standard deviation of the sampling distribution of the sample mean would be multiplied by


(a) \(\sqrt{2}\)


(b) \(1 / \sqrt{2}\)


(c) 2 .


(d) \(1 / 2\)


(e) \(1 / \sqrt{2 n}\)

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QUESTION:

Section I: Multiple choice  Select the best answer for each question.

A researcher initially plans to take an SRS of size n from a population that has mean 80 and standard deviation 20. If he were to double his sample size (to 2n), the standard deviation of the sampling distribution of the sample mean would be multiplied by


(a) \(\sqrt{2}\)


(b) \(1 / \sqrt{2}\)


(c) 2 .


(d) \(1 / 2\)


(e) \(1 / \sqrt{2 n}\)

ANSWER:

Step 1 of 2

Given:

The mean value of the population is .

The standard deviation is .

The sample size is doubled; that is 2n.

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