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15. A population has a mean of 200 and a standard deviation of 50 . Suppose a simple random sample of size 100 is selected

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15. A population has a mean of 200 and a standard deviation of 50 . Suppose a simple random sample of size 100 is selected and x is used to estimate a) What is the probability that the sample mean will be within \pm 5 of the population mean? b) What is the probability that the sample mean will be within \pm 10 of the population mean

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