A population has μ = 90 and a standard deviation of σ = 9.6. What are the mean and standard deviation of the sampling distribution x-bar if a sample of 144 were taken?

Step-by-step explanation:

For this case we have a population with the following parameters:

For this case we have a sample of n= 144 and this sample size is larger (>30) then we can apply the central limit theorem and the distirbution for the sample mean is given by:

And replacing we got:

And the standard deviation is given by:

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