Question: Based on a pilot study, the population standard deviation of scores for U.S. high school graduates taking a new version of an aptitude test has

Based on a pilot study, the population standard deviation of scores for U.S. high school graduates taking a new version of an aptitude test has been estimated as 3.7 points. If a larger study is to be undertaken, how large a simple random sample will be necessary to have 99% confidence that the sample mean will not differ from the actual population mean by more than 1.0 point?

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