63 Improving SAT scores. Chance (Winter 2001) performed an examination of SAT scores of students who pay a private tutor to help them improve their results. On the SATMathematics test, these students had a mean change in score of +19 points, with a standard deviation of 65 points.

In a random sample of 100 students who pay a private tutor to help them improve their results, what is the likelihood that the change in the sample mean score is less than 10 points?