Does taking an SAT Prep course increase SAT math scores? A principal at a large eastern

high takes an SRS of eight students at her high school who have taken an SAT prep class. They

take an actual SAT test in October. They are administered the SAT prep class after the first test

and take another test in May. Here are their scores:

Student 1 2 3 4 5 6 7

June Score 620 540 630 480 650 550 800

Oct Score 560 520 660 440 630 580 740

Is there convincing statistical evidence that the mean difference in SAT math scores have

increased? Let alpha =0.05. ALL CONDITIONS HAVE BEEN MET