SCENARIO 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 Scenario 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

SCENARIO 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 Scenario 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

To test the effectiveness of the business school preparation course, we need to conduct a paired sample t-test. The null hypothesis for this test is that there is no significant difference between the mean scores before and after the course, while the alternative hypothesis is that there is a significant difference.

At the 0.05 level of significance, we can use a t-distribution table with 7 degrees of freedom (n-1) to find the critical t-value for a two-tailed test. Based on the table, the critical t-value is 2.365.

Using a statistical software or calculator, we can calculate the t-statistic for the sample data, which is -4.061. Since the t-statistic is smaller than the critical t-value (4.061 < 2.365), we can reject the null hypothesis and conclude that there is a significant difference between the mean scores before and after the business school preparation course.

Therefore, the decision for this hypothesis test would be to reject the null hypothesis, option A.

SCENARIO 10-5 To Test the Effectiveness of a Business School Preparation Course,8