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.

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