Suppose we want to estimate the concentration ( g/gL ) of a speofic dose of ampicilin in the urine after various penods of time. We recruit 23 volunteers who have received ampicilin and find the have a mean concentration of 6.0pg/mL wath a standard deviation of 2.0g/mL. Assume the underlying population distribution of concentrations is normally distributed. You can use to answer parts of this puestion. (a) Find a.95\% Cl for the pepulation mem concentration (in pa/mi). (Enter your answer using interval notation. Round your numerical values to two decimal places.) parime (b) Find a.99\% ci for the population variance of the concentrations (in po/mi). (Enter your answer using interval notation, Hound your numerical values to two decimal places.) vosimL (c) What is the minimum sample size that would be needed to ensure that the length of the Cl in part (a) is 0.5pg/mL assumicg the sample standard deviation remains at 2.0Hg/mL ?.

1. Suppose we want to estimate the concentration ( g/gL ) of a speofic dose of ampicilin in the
urine after various penods of time. We recruit 23 volunteers who have received ampicilin and
find the have a mean concentration of 6.0pg/mL wath a standard deviation of 2.0g/mL. Assume
the underlying population distribution of concentrations is normally distributed. You can use to
answer parts of this puestion. (a) Find a.95% Cl for the pepulation mem concentration (in
pa/mi). (Enter your answer using interval notation. Round your numerical values to two decimal
places.) parime (b) Find a.99% ci for the population variance of the concentrations (in po/mi).
(Enter your answer using interval notation, Hound your numerical values to two decimal places.)
vosimL (c) What is the minimum sample size that would be needed to ensure that the length of
the Cl in part (a) is 0.5pg/mL assumicg the sample standard deviation remains at 2.0Hg/mL ?