Question number 6, show all work!

6. THE BEST SAT PREP CO's information states student's SAT scores will increase after participating in their SAT prep program. You are interested in testing this claim. A random sample of students who took the program was taken, and their test scores before and after the program were recorded. Does this data show the company's program helps students increase their test score? Test at the .01 level of significance. Assume test scores are normally distributed. 8 Student: 2 3 4 5 6 7 Before: 408 425 650 440 550 580 470 602 After: 446 592 685 469 625 570 500 625