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A (very large) population has a mean µ of 800 and a standard deviation σ of...

A (very large) population has a mean µ of 800 and a standard deviation σ of 25. What is the probability that a sample mean x will be within ± 5 units of the population mean for each of the following sample sizes?

a. n = 50

b. n = 75

c. n = 100

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