CHAPTER 12 Review Exercises 637 7.One vs. Two What is the fundamental difference between one-way analysis of variance and two-way analysis of variance? 8.Pulse Rates Shown below are pulse rates from Data Set 1 “Body Data” in Appendix B, and the StatCrunch display from two-way analysis of variance of these data. In analyzing these data, what important feature is addressed with two-way analysis of variance that is not addressed with two separate tests of (1) difference between mean pulse rates based on gender, or (2) differences among the mean pulse rates in the different age brackets? Female Male 18–29 104 82 80 78 80 84 82 66 70 78 72 64 72 64 64 70 72 64 54 52 30–49 66 74 96 86 98 88 82 72 80 80 80 90 58 74 96 72 58 66 80 92 50–80 94 72 82 86 72 90 64 72 72 100 54 102 52 52 62 82 82 60 52 74 9. Interaction a. Based on the display included with the preceding exercise, what do you conclude about an interaction between gender and age bracket? b. If there does appear to be an interaction between gender and age bracket, how should we continue with the procedure for two-way analysis of variance? 10.Gender and Age Bracket Based on the display included with Exercise 8, what are the final conclusions? 1. Cholesterol If we record all of the LDL cholesterol measures from Data Set 1: “Body Data” that fall into the four age brackets of 20–29, 30–39, 40–49, and 50–59, we obtain the Statdisk analysis of variance results shown below. What do you conclude? 2. Cholesterol Listed below are LDL cholesterol measurements (mg>dL) from subjects in four different age brackets. Use a 0.05 significance level to test the claim that subjects in those different age brackets have the same mean cholesterol level. Age 20-29 144 104 116 52 124 102 117 84 56 66 30-39 150 137 118 104 94 69 103 40-49 60 68 94 57 75 136 119 122 50-59 152 91 147 130 140 Review Exercises
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