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Given a population mean of 27.1 with a standard deviation of 8.4 and a sample size...

Given a population mean of 27.1 with a standard deviation of 8.4 and a sample size of 10, answer these questions:

Part A: What is the standard deviation of the sampling distribution of x̄? Show your work. (5 points)

Part B: What does the sample size need to be if you want the standard deviation of the sampling distribution of x̄ to be 2.8? Show your work. (5 points) (10 points)

Math   Statistics-And-Probability   
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Homework Answers

Answer #1

A)

Standard deviation of = = / sqrt(n)

= 8.4 / sqrt(10)

= 2.6563

B)

Given,

= 2.8 ,

We have to calculate n.

= / sqrt(n)

sqrt (n ) = /

n = ( / )2

= (8.4 / 2.8)2

= 9

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