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The number of hours spent studying by students on a large campus in the week before final exam follows a normal distribution with a standard

The number of hours spent studying by students on a large campus in the week before final exam follows a normal distribution with a standard deviation of 12.4 hours. How large of a sample is needed to ensure that the probability that the sample mean differs from the population mean by more or less then 2.0 hours is less than at a 90% confidence level.?

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