Q1) an investigator wants an estimate caffeine consumption in high school students. how many students would be required to ensure that a 95% confidence interval estimate for the mean caffeine intake(measured in mg) is within 15 minutes of the true mean? assume that the standard deviation in caffeine intake is 68mg.

b) Consider the study in question #1. how many students would be required to estimate the proportion of students who consume coffee? suppose we want the estimate to be within 5% of the true proportion with 95% confidence.