2. (CLO 1) Construct a confidence interval to estimate the mean height and the mean shoe size: you must complete the following questions by first choosing a Confidence Level. You may choose from the familiar 90%, 95%, or 99% level of confidence. Denote this by choosing a = a. Find the sample mean and sample standard deviation of the height. Denote them as I and $, respectively. b. Find the sample mean and sample standard deviation of the shoe sizes. Denote them as y and sy respectively. c. Construct and interpret a confidence interval to estimate the mean height of the population. You must first write the formula for the confidence interval and then substitute your appropriate numbers. d. Construct and interpret a confidence interval to estimate the mean shoe size of the population. You must first write the formula for the confidence interval and then substitute your appropriate numbers