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mafiozo [28]
3 years ago
14

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 20 minutes. How large a sample should she take to estimate the mean time to within 3 minutes with 91% confidence?
Mathematics
1 answer:
Mariana [72]3 years ago
3 0
<span>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 18 minutes. How large a sample should she take to estimate the mean time to within 4 minutes with 97% confidence?
-----
n = [z*s/E]^2
---

n = [2.17*18/4]^2 = 96 when rounded up

</span>
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