Question: You plan to take a random sample from a population of 500 items and build a 95% confidence interval estimate of the population mean. a.

You plan to take a random sample from a population of 500 items and build a 95% confidence interval estimate of the population mean.
a. You want a margin of error no bigger than ± 5. You estimate the population standard deviation to be 100. How large a sample is needed?
b. Suppose you want the margin of error to be no bigger than ±4. How large a sample would be needed?

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