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find the sample size needed to estimate the mean age of movie patrons such that it can be said with 90% confidence that the sample

find the sample size needed to estimate the mean age of movie patrons such that it can be said with 90% confidence that the sample mean is with in 3 years of the population mean. Assume that the standard deviation is 19.6 years based on a previous report .
A) the required sample size

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