Let Y be a random variable. Suppose you are interested in estimating the population mean, E(Y). Which of the following statements about confidence intervals and hypotheses tests are true? (Check all that apply.) ☐ A. A confidence interval summarizes the set of hypotheses about the population mean, E(Y), you can and cannot reject at a given significance level. B. A single hypothesis test about the population mean, E(Y), contains more information than a confidence interval. C. A confidence interval defines a rejection rule, at a specified significance level, for only one possible value of the population mean, E(Y), whereas a single hypothesis test is a rejection rule for all possible values of the population mean. D. A confidence interval defines a rejection rule, at a specified significance level, for all possible values of the population mean, E(Y), whereas a single hypothesis test is a rejection rule for only one possible value of the population mean. 11 Assume that you have 125 observations on the height (H) and weight (W) of your peers in college. Let SHW = 68, S₁ = 3.5, Sw = 68. The sample correlation coefficient is: A. 0.572. B. 1.22. C. 0.286. D. Cannot be computed since males and females have not been separated out. 19