1. To study about the correlation between height and shoe size, you need to collect a sample of nine (9) people using a Systematic Sampling method. a. What is the population of people? Where and how are you going to collect your sample? Does your sample accurately represent your population? Why or why not? b. Collect the sample and record the data. Use a single unit for height. Do not use a mixed unit like feet and inches. Height Shoe Size Person 1 Person 2 Person 3 Person 4 Person 5 Person 6 Person 7 Person 8 Person 9 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 x and sx 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 can use StatCrunch, Microsoft Excel, or any other statistical tool 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 can use StatCrunch, Microsoft Excel, or any other statistical tool for the confidence interval and then substitute your appropriate numbers.