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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. Person 1 Person 2 Person 3 Person 4 Person 5 Person 6 Person 7 Person 8 Person 9 Height Shoe Size 2. (CLO 1) Construct a condence interval to estimate the mean height and the mean shoe size: you must complete the following questions by first choosing 3 Condence Level. You may choose from the familiar 90%, 95%, or 99% level ofcondence. Denote this by choosing a : a. Find the sample mean and sample standard deviation of the height. Denote them as i and sx respectively. b. Find the sample mean and sample standard deviation ofthe 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 condence interval and then substitute your appropriate numbers. d. Construct and interpret a confidence interval to estimate the mean shoe size ofthe population. You can use StaICrunch, Microsoft Excel, or any other statistical tool for the confidence interval and then substitute your appropriate numbers. West Coast University Signature Assignment Page 2 of 2 3. (CLO 2) Test a claim that the mean height of your population is different from 64 inches. Use the appropriate significance level a you fixed earlier. a. State the initial and alternative hypothesis. b. Find the test statistic and the P-valuc. You can use StatCrunch. Microsoft Excel. or any other statistical tool to write the statistic and then substitute your appropriate numbers. c. Draw a conclusion in context of the situation. Your conclusion should include both the formal language as well as an informal explanation. 4. (CLO 3) Find a correlation between height and shoe size. a. Create a scatterplot ofthe data. Height is x-axis and Shoe size is yaxis. Attach your scattcrplot to the end of this document. b. Find the linear conelation coefcient. What does this tell you about your data? c. Write the equation of the regression line and use it to predict the shoe size of a person that is 68 inches tall. 5. Write a paragraph or two about what you have learned from this process. When you read, sec, or hear a statistic in the future, what skills will you apply to know whether you can trust the result