Question

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.)

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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This distribution is shown with the black dotted line.
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A population has a mean muequals75 and a standard deviation
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increased by 1 font size increased by 1 font size decreased by 1
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LOADING...
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LOADING...
Click the icon to view page 2 of the standard normal table.
For a sample of
nequals=6464,
the probability of a sample...

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