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=0.05

=0.05for 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.

Student Score on first SAT Score on second SAT

1 540 560

2 470 530

3 460 500

4 390 480

5 450 490

6 490 570

7 400 450

Step 2 of 5:Find the value of the standard deviation of the paired differences. Round your answer to one decimal place.