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Statistics: Develop Confidence Interval

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Families USA, a monthly magazine that discusses issues related to health and health
costs, surveyed 20 of its subscribers. It found that the annual health insurance premiums
for a family with coverage through an employer averaged $10,979. The standard deviation
of the sample was $1,000.

a. Based on this sample information, develop a 90 percent confidence interval for the
population mean yearly premium.
b. How large a sample is needed to find the population mean within $250 at 99 percent
confidence?

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