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Trish Attends a Yoga Class Four Times Each Week σ\sigma = 17 Minutes, How Large a Sample Is Needed So That

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Trish attends a yoga class four times each week. She would like to estimate the mean number of minutes of continuous exercise until her heart reaches 90 beats per minute. If it can be assumed that σ\sigma = 1.7 minutes, how large a sample is needed so that it will be possible to assert with 99% confidence that the sample mean has a margin of error of, at most, 0.62 minutes? Justify your conclusion.

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