Question 4 a) 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 wants to estimate the mean of the population of relief times. She believes that the population is normally distributed with a population standard deviation of 25 minutes. How large a sample should she take to estimate the mean time to within 5 minutes with 95% confidence? b) An epidemiologist is worried about the prevalence of the flu in East Vancouver and the potential shortage of vaccines for the area. She will need to provide a recommendation for how to allocate the vaccines appropriately across the city. She takes a simple random sample of 320 people living in East Vancouver and finds that 40 have recently had the flu.Suppose that the epidemiologist wants to re-estimate the population proportion and wishes for her 95% confidence interval to have a margin of error no larger than 0.05. How large a sample should she take to achieve this?

MATLAB: An Introduction with Applications
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Author:Amos Gilat
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**Question 4**

a) 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 wants to estimate the mean of the population of relief times. She believes that the population is normally distributed with a population standard deviation of 25 minutes. How large a sample should she take to estimate the mean time to within 5 minutes with 95% confidence?

b) An epidemiologist is worried about the prevalence of the flu in East Vancouver and the potential shortage of vaccines for the area. She will need to provide a recommendation for how to allocate the vaccines appropriately across the city. She takes a simple random sample of 320 people living in East Vancouver and finds that 40 have recently had the flu. Suppose that the epidemiologist wants to re-estimate the population proportion and wishes for her 95% confidence interval to have a margin of error no larger than 0.05. How large a sample should she take to achieve this?
Transcribed Image Text:**Question 4** a) 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 wants to estimate the mean of the population of relief times. She believes that the population is normally distributed with a population standard deviation of 25 minutes. How large a sample should she take to estimate the mean time to within 5 minutes with 95% confidence? b) An epidemiologist is worried about the prevalence of the flu in East Vancouver and the potential shortage of vaccines for the area. She will need to provide a recommendation for how to allocate the vaccines appropriately across the city. She takes a simple random sample of 320 people living in East Vancouver and finds that 40 have recently had the flu. Suppose that the epidemiologist wants to re-estimate the population proportion and wishes for her 95% confidence interval to have a margin of error no larger than 0.05. How large a sample should she take to achieve this?
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