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A what is the probability that the sample mean will be

A population has a mean of 400 and a standard deviation of 80. Suppose a sample of size 125 is selected and (x-bar) is used to estimate (mu).

a. What is the probability that the sample mean will be within +/- 8 of the population mean (to 4 decimals)?

b. What is the probability that the sample mean will be within +/- 13 of the population mean (to 4 decimals)?

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