In order to improve the grades of students at UTC, several incentive programs have been introduced. Results of random samples of grades from after and before the incentive programs are given...

After Incentives

Before Incentives

Sample Size

14

12

Sample Mean

2.85

2.61

Sample Standard Deviation

.40

.35

Sample Mode

2.5

3.0

a. Set up the hypothesis.

b. Compute the test statistic.

c. Using a .10 level of significance, test to determine whether the incentive programs have significantly increased the average grades

d. Briefly discuss your results