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27 votes
27 votes
A population of values has a normal distribution with μ= 180.1

and σ=100. You intend to draw a random sample of size n=94

What is the mean of the distribution of sample means?

What is the standard deviation of the distribution of sample means?
(Report answer accurate to 2 decimal places.)

User Gavenkoa
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1 Answer

11 votes
11 votes

A sample of size n taken from a normally distributed population with mean µ and standard deviation σ has a sample mean of µ and standard deviation of σ/√n.

So the sample mean would still be 180.1, while the sample standard deviation would be 100/√94 ≈ 10.31.

User Kise
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