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.
-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

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. 
-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.

Quizplus · Accepted Answer

We can perform a paired t-test to determine if there is a significant difference between the mean scores before and after the course. Using a two-tailed test at the 0.05 level of significance, we find that the calculated t-value of -3.06 is less than the critical t-value of ±2.306 (with 7 degrees of freedom). Therefore, we reject the null hypothesis that there is no significant difference between the mean scores before and after the course and conclude that the business school preparation course is effective.

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