TABLE 10-5
To test the effectiveness of a business school preparation course, 8 students took a general business test before and after the course. The results are given below.
Exam Score Exam Score
Student Before Course (1) After Course (2)
1 530 670
2 690 770
3 910 1,000
4 700 710
5 450 550
6 820 870
7 820 770
8 630 610
-Referring to Table 10-5, at the 0.05 level of significance, the decision for this hypothesis test would be
A) reject the null hypothesis.
B) do not reject the null hypothesis.
C) reject the alternative hypothesis.
D) It cannot be determined from the information given.

Question

Quizplus · Accepted Answer

We need to conduct a paired t-test to compare the before and after scores of the students. Using a t-test with 7 degrees of freedom, we find the t-statistic to be 3.18. With a two-tailed test and a significance level of 0.05, the critical t-value is 2.36. Since our calculated t-value (3.18) is greater than the critical t-value (2.36), we reject the null hypothesis and conclude that the preparation course had a significant effect on the test scores. Therefore, the correct decision for this hypothesis test would be to reject the null hypothesis.

TABLE 10-5 To Test the Effectiveness of a Business School Preparation Course