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(10 points) A medical researcher wants to investigate the amount of time it takes for patients' headache pain to be relieved after taking a

(10 points) A medical researcher wants to investigate the amount of time it takes for patients' headache pain to be relieved after taking a new prescription painkiller. She plans to use statistical methods to estimate the mean of the population of relief times. She believes that the population is normally distributed with a standard deviation of 22 minutes. How large a sample should she take to estimate the mean time to within 4 minutes with 98% confidence? Sample Size=

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