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4. A medical researcher wants to investigate the amount of time it takes for patients' headache pain to be relieved after taking a new prescription

4. 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 population standard deviation = 12 minutes. How large a sample should she take to estimate the mean time to within 2 minutes with 90% confidence

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