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. NOTE: While the prompt doesn't mention explicitly, it is only logical to assume that the expectation or assumption ispost course performance will be better than or equal topre course performance.

Therefore, alternative hypothesis is: Post course performance is less than pre course performance. (Please show work and explain, thank you)

Student: Before Course: After Course:

1 530 670

2 690 770

3 910 1000

4 700 710

5 450 550

6 820 850

7 820 770

8 630 610

1. It is one tail test (True/False).
2. Referring to problem the number of degrees of freedom is ______.
3. The value of the sample mean difference is _______ if the difference scores reflect the results of the exam after the course minus the results of the exam before the course.
4. Referring to problem, what is the critical value for testing at the 5% level of significance whether the business school preparation course is effective in improving exam scores?
5. Referring to problem, at the 0.05 level of significance, the decision for this hypothesis test would be:

a. reject null hypothesis

b. do not reject null hypothesis

c. reject alternative hypothesis

d. cannot be determined based on information given

6. Referring to problem at the 0.05 level of significance, the conclusion for this hypothesis test is that there :

a. isevidence that business school preparation course statistically significant improved performance.

b. is sufficient evidence that the business school preparation course does not improve exam score.

c. is sufficient evidence that the business school preparation course has no impact on exam score.

d. is sufficient evidence that no conclusion can be drawn from the information given.

7. Referring to problem, the calculated value of the test statistic is ________.

8.Referring to problem, the p-value of the test statistic is ________.