36-201 INTRODUCTION TO STATISTICAL REASONING Assignment #3 Due: In Lab, Thurs Feb 4 and Fri Feb 5. Be sure to write your name and SECTION on your paper. STAPLE, DO NOT PAPERCLIP OR FOLD/TEAR, YOUR PAGES TOGETHER. 1. Moore, 4.71 and 4.74, p. 274. 2. Moore, 4.78, p. 275. In addition please use interpolation with the 68-98-99.7 rule to answer the following questions: * Approximately what percentile is a Z-score of 1.5? * Approximately what percentile is a Z-score of 1.75? 3. Siegel and Morgan, problem 14, p. 157 4. Siegel and Morgan, problem 9, p. 165 5. Four situations are described below. (A) In each situtation, two variables are listed. Say whether each one is quantitative or qualitative (you should have eight answers for this part). (B) In each situation, say which variable is the independent variable, and which one is the dependent variable. If you think we won't understand why you chose the way you did, give your reasoning. (i) A law school wants to study the relationship between LSAT scores (LSAT is a law school entrance exam) and students' first-year GPA's. (ii) An anthropologist is studying the relationship between the heights of fathers and the heights of sons. (iii) A meteorologist is studying changes in monthly temperature averages over the course of a year. (iv) A medical researcher randomly assigns patients (with their permission of course!) who are depressed to either receiving the drug lithium, or to simply talking about coping with depression with a therapist each week, and after one year compares their scores on a standard test of major depressive disorder. 6. Siegel and Morgan, problem 9, page 571. For part (c), use the descriptors on pp. 520 through 532 of Siegel and Morgan in your description. 7. Siegel and Morgan, problem 12, p 573.