An SAT prep course claims to improve the test score of students. The table below shows the scores for seven students the first two times they took the verbal SAT. Before taking the SAT for the second time, each student took a course to try to improve his or her verbal SAT scores. Do these results support the claim that the SAT prep course improves the students' verbal SAT scores?

Letd=(verbalSATscorespriortotakingtheprepcourse)?(verbalSATscoresaftertakingtheprepcourse)d=(verbalSATscorespriortotakingtheprepcourse)?(verbalSATscoresaftertakingtheprepcourse). Use a significance level of?=0.1for the test. Assume that the verbal SAT scores are normally distributed for the population of students both before and after taking the SAT prep course.

course. Student 2 3 4 Score on first SAT 590 370 400 360 440 580 360 Score on second SAT 620 420 470 480 460 610 410