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

Question

2 years ago

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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] · Answer 1 · 2022-07-16T07:05:29+03:00

<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?
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n = [z*s/E]^2
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n = [2.17*18/4]^2 = 96 when rounded up

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