1. John has taken an SAT test that consists of two sections (verbal and math). He scored 580 on verbal and 610 on math test, respectively. John later learned that the means and standard deviations of the scores for both sections were as follows: Mean = 505 (std = 50) for the verbal section; Mean = 520 (std=60) for the math section. In terms of the standard scores for both sections, the score of which section was better? What are the z-scores for both sections?

2. Mary took the same SAT test with John (#1 above). She scored 455 on verbal and 640 on math test. What are the z-scores for these scores? Using Figure 5-6 on page 123 of the textbook or using Table A on pages 470-471, what are the percentile ranks for each of the two scores for Mary?

3. After a happy mood induction procedure, a psychologist measured the way subjects felt depending on the level of strength the researcher presented. The researcher was interested in how well what he/she manipulated predicts how happy subjects feel at the end of the procedure. Using the data below, calculate the regression constants and present the equation for the regression line. Level manipulated/ Subjects response 2 /3 4/7 1 /2 5/4 6/8 2/4