## A total of 800 students responded to the MATH1530 class survey during the spring semester of 2015. The name of the data file is Sp15Math1530CSTPData.MTW. The Minitab worksheet is set up as follows: C1: ID (an identification number given to each student in the data file) C2: GENDER C3: AGE (yrs) C4: WEIGHT (lbs) C5: HEIGHT (in) C6: NUCLEAR SAFETY C7: TALK POLITICS C8: WASH HANDS C9: L E CAMERAS C10: CLOTHING ARTICLES C11: CLOTHING PURCHASE ($) C12: LOWEST GAS PRICE ($) C13: FITNESS C14: SEXUAL PREDATOR MATH-1530 CAPSTONE TECHNOLOGY PROJECT SPRING SEMESTER 2015 Problem 1: Identify Variable Type. Which of these questions from the class survey measured variables that are categorical and which are quantitative? Use your word processor to underline the best option (or you may highlight in yellow if you are using a color printer). a. AGE Categorical Quantitative Neither b. NUCLEAR SAFETY Categorical Quantitative Neither c. WASH HANDS Categorical Quantitative Neither d. CLOTHING PURCHASE Categorical Quantitative Neither e. FITNESS Categorical Quantitative Neither Problem 2: Sampling. In the survey data, the variable “AGE” is the current age reported by each student. a. Type the first 10 observations from the column representing the variable AGE into the table below, and use this as your sample data for part (a). Then calculate the mean age of these first 10 observations and report the value below. n 1 2 3 4 5 6 7 8 9 10 AGE (yrs) The mean age of the first 10 students is years. (Type the value into the space provided) Identify the type of sampling method you have just used: b. Next, select a random sample of size n = 10 (Go to Calc > Random Data > Sample from Columns). Type the number 10 in the “Number of rows to Sample” slot. Enter the variable “ID” and “AGE” into the “From columns” slot. Enter C17-C18 into the “Store samples in” slot. Record the data for your sample in the table below. n 1 2 3 4 5 6 7 8 9 10 ID AGE (yrs) Calculate and report the mean age for your random sample of 10 students. The sample mean age is years. Identify the type of sampling method you have just used: c. Let’s treat all the students who responded to the survey as a population for the purposes of this problem. Use Minitab to calculate the mean age for all 800 observations included in the data set and report this value below. The mean age of the population is years. d. Compare the population mean you found in Part (c) to the sample means you found in Parts (a) and (b). Which sample provided a closer estimate of the population mean age in this case?

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