Question: Refer to the data in the below table that lists SAT scores before and after a random sample of 10 students took a preparatory course. At the 0.05 significance level, test the claim that the preparatory course is effective in raising SAT scores.

Student A B C D E F G H I J

SAT score BEFORE course 700 840 830 860 840 690 830 1180 930 1070

SAT score AFTER course 720 840 820 900 870 700 800 1200 950 1080

A) What is the null and alternative hypotheses for this study? To receive full credit you must write these claims both symbolically AND in English.

B) For a = 0.05, what is the critical t-value?

C) What is the computed test statistic?

D) Based on this study, do we conclude that the preparatory course is effective in raising SAT scores?