Suppose we want to estimate the concentration (ug/mL) of a specific dose of ampicillin in the urine after various periods of time. We recruit 25 volunteers who have received ampicillin and find they have a mean concentration of 7.0 µg/mL with a standard deviation of 2.0 ug/mL. Assume the underlying population distribution of concentrations is normally distributed. a) Find a 95% CI for the population mean concentration. b) Find a 99% CI for the population variance of the concentrations. c) How large a sample would be needed to ensure that the length of the CI in part (a) is 0.5 ug/mL assuming the sample standard deviation remains at 2.0 ug/mL?

MATLAB: An Introduction with Applications
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Suppose we want to estimate the concentration (ug/mL) of a specific dose of ampicillin in the
urine after various periods of time. We recruit 25 volunteers who have received ampicillin and
find they have a mean concentration of 7.0 ug/mL with a standard deviation of 2.0 ug/mL.
Assume the underlying population distribution of concentrations is normally distributed.
a) Find a 95% CI for the population mean concentration.
b) Find a 99% CI for the population variance of the concentrations.
c) How large a sample would be needed to ensure that the length of the CI in part (a) is 0.5
ug/mL assuming the sample standard deviation remains at 2.0 ug/mL?
Transcribed Image Text:Suppose we want to estimate the concentration (ug/mL) of a specific dose of ampicillin in the urine after various periods of time. We recruit 25 volunteers who have received ampicillin and find they have a mean concentration of 7.0 ug/mL with a standard deviation of 2.0 ug/mL. Assume the underlying population distribution of concentrations is normally distributed. a) Find a 95% CI for the population mean concentration. b) Find a 99% CI for the population variance of the concentrations. c) How large a sample would be needed to ensure that the length of the CI in part (a) is 0.5 ug/mL assuming the sample standard deviation remains at 2.0 ug/mL?
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