1. An incoming MBA student took placement exams in economics and mathematics. In economics, she scored 82 and in math 86. The overall results on the economics exam had a mean of 72 and a standard deviation of 8, while the mean math score was 68, with a standard devi- ation of 12. On which exam did she do better compared with the other students?
2. The first Statistics exam had a mean of 65 and a stan- dard deviation of 10 points; the second had a mean of 80 and a standard deviation of 5 points. Derrick scored an 80 on both tests. Julie scored a 70 on the first test and a 90 on the second. They both totaled 160 points on the two exams, but Julie claims that her total is better. Explain.
3. Your company's Human Resources department administers a test of "Executive Aptitude." They report test grades as z-scores, and you got a score of 2.20. What does this mean?