Question: In order to determine whether or not a driver's education course improves the scores on a driving exam, a sample of 6 students were given the exam before and after taking the course. The results are shown below.

Let d = Score After - Score Before.

Score Score

Student Before the Course After the Course

1 83 87

2 89 88

3 93 91

4 77 77

5 86 93

6 79 83

a. Compute the test statistic.

b. At 95% confidence using the p-value approach, test to see if taking the course actually increased scores on the driving exam.