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A population has a mean muμequals=75 and a standard deviation sigmaσequals=24. Find the mean and standard...

A population has a mean muμequals=75 and a standard deviation sigmaσequals=24. Find the mean and standard deviation of a sampling distribution of sample means with sample size nequals=64.

μx=__

​(Simplify your​ answer.)

σx=___

​(Simplify your​ answer.)

Math   Statistics-And-Probability   
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Answer #1

We are given = 75 and σ = 24 , n = 64

According to sampling distribution of sample mean () , follows approximately normal distribution with mean =

and standard deviation σ   = σ /

Therefore

= 75 and

σ   = 24 / = 24/8

σ = 3

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