An SAT prep course claims to improve the test score of students. The table below shows the
Question:
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?
Let d=(verbalSATscorespriortotakingtheprepcourse)(verbalSATscoresaftertakingtheprepcourse)
. Use a significance level of =0.01
for 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.
Student1234567Score on first SAT470
440
560
390
510
370
560
Score on second SAT490
500
600
430
540
440
600
Step 3 of 5:
Compute the value of the test statistic. Round your answer to three decimal places.