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A random sample of size 64 is taken from a population with mean µ = 17...

A random sample of size 64 is taken from a population with mean µ = 17 and standard deviation σ = 16. What are the expected value and the standard deviation for the sampling distribution of the sample mean?

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Answer #1

Solution :

Given that,

mean = = 17

standard deviation = = 16

n = 64

Sample mean = = 17

The standard deviation for Sample mean = = / n

= 16 64

= 2

The standard deviation for Sample mean = 2

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