Discuss the below:
Q1. An investigator wants to estimate caffeine consumption in high school students. How many students would be required to ensure that a 95% confidence interval estimate for the mean caffine intake(measured in mg) is within 15 units of the true mean? Assume that the standard deviation in caffine intake is 68 mg.
Q2. Consider the study proposed in Q1. 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.
Q3. What is the effect on the probability of a TYPE II error when the probability of a TYPE I error is decreased? Describe type I and II errors of a mammography in terms of the diagnosis