Question 1: 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? c) Use the normal approximation to the binomial to estimate the probability of getting less than 51 girls in 100 births. Assume that boys and girls are equally likely and that births are independent. Round all z scores to two decimals. Enter your final answer as a decimal to four places (e.g. 0.1234). Probabilities must match values from the table
Question 1: 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? c) Use the normal approximation to the binomial to estimate the probability of getting less than 51 girls in 100 births. Assume that boys and girls are equally likely and that births are independent. Round all z scores to two decimals. Enter your final answer as a decimal to four places (e.g. 0.1234). Probabilities must match values from the table
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Transcribed Image Text:Question 1:
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?
c) Use the normal approximation to the binomial to estimate the
probability of getting less than 51 girls in 100 births. Assume that
boys and girls are equally likely and that births are independent.
Round all z scores to two decimals. Enter your final answer as a
decimal to four places (e.g. 0.1234). Probabilities must match
values from the table
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