An SAT prep course claims to increase student scores by more than 60 points, on average. To test this claim, 9 students who have previously taken the SAT are randomly chosen to take the prep course. Their SAT scores before and after completing the prep course are listed in the following table. Test the claim at the 0.05 level of significance assuming that the population distribution of the paired differences is approximately normal. Let scores before completing the prep course be Population 1 and let scores after completing the prep course be Population 2. SAT Scores Before Prep 1410 1290 1100 1120 1450 1020 1250 1090 1490 Course After Prep 1610 1430 1230 1130 1640 1020 1260 1240 1510 Course Copy Data- Step 2 of 3: Compute the value of the test statistic. Round your answer to three decimal places