Chapter 6.2, Problem 6.21ACA

Improving SAT scores. Refer to the Chance (Winter 2001) and National Education Longitudinal Survey (NELS) study of 265 students who paid a private tutor to help them improve their SAT scores, Exercise 2.88 (p. 89). The changes in both the SAT–Mathematics and SAT – Verbal scores for these students are reproduced in the table. Suppose the true population mean change in score on one of the SAT tests for all students who paid a private tutor is 15. Which of the two tests, SAT – Mathematics or SAT–Verbal, is most likely to have this mean change? Explain.

	SAT–Math	SAT–Verbal
Mean change in score	19	7
Standard deviation of score changes	65	49