Suppose we wish to estimate the concentration (µg/mL) of aspecific dose of ampicillin in the urine after a certain period oftime. We recruit 25 volunteers 25 who have received ampicillin, andfind that they have a mean concentration 7.0 with sample standarddeviation 2.0. Assume normality of population. a) Give a 95%confidence interval for the population mean concentration. b) Givea 90% confidence interval for the population varianceconcentration. c) If, instead, we knew the population concentrationstandard deviation was exactly 2.0, then just how big of a samplewould be needed to get a 95% confidence interval for populationmean with a margin of error .25?
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