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A population has a mean 75 and standard deviation 12. a. A random sample of 125 are taken. Find the mean and the standard deviation

A population has a mean 75 and standard deviation 12.

a. A random sample of 125 are taken. Find the mean and the standard deviation of the sample mean.

b. How would the answer to part (a) change if the size of the sample were 500 instead of 125?

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