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 = (verbal SAT scores prior to taking the prep course)-(verbal SAT scores after taking the prep course). Use a significance level of a = 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. Student en first SAT Score on second SAT 1 500 520 2 3 520 410 590 480 4 440 480 5 530 560 6 440 510 7 560 620 Copy Data Step 1 of 5: State the null and alternative hypotheses for the test.

Answer 1

Stept: Ho: Md Zo versus Ha: Maco. Step : di (first.SAT Second SAT) do – 20 – 70 - 70 - 40 – 30 – 70 – 60. ā= 2402-51.42€6, sa taha, eta erana) Ja (21200 - (53607) mean a = 4-51.4286] =1514 Sa 121.1570] Standard deviation Sd=221.2) Steps. The test statistic t= (d-Md) = -51.4 -0 = [-6.414) (sd/h) (ali t = -6.415 A=0.ollend, df=6 Stepy Reject to it [ ] [-3.1427 Steps Reject(to & null hypothesis