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Find the sample size for the normal population.

According to a FDA study, a cup of coffee contains an average of 115 milligrams (mg) of caffeine. Suppose you want to repeat the FDA experiment to obtain an estimate of the mean μ of the amount of caffeine content of a cup of coffee correct to within 5 mg with 95% confidence. How many cups of coffee have to be included in your sample? Take σ = 30mg.

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