An SAT prep course claims to improve the test scores of students. The list below shows the critical reading scores for 10 students the first two times they took the SAT, once before the course, and...

An SAT prep course claims to improve the test scores of students. The list below shows the critical reading scores for 10 students the first two times they took the SAT, once before the course, and once after the course. Test the company's claim at α=0.01.

Before: 308, 456, 352, 433, 306, 471, 422, 370, 320, 418

After: 400, 524, 409, 491, 348, 583,451, 408, 391, 450