Question: A teacher proposes to implement an experimental course he developed that increases statistics comprehension in students. To evaluate the “effectiveness” of the course, the teacher administers a before and after treatment test. Each subject is administered a pre-test, then exposed to treatment, and then administered a post-test. Scores on the test are then compiled as follows.

Subject Before After

1 100 99

2 65 87

3 74 80

4 97 99

5 95 88

6 75 75

7 91 104

8 107 81

9 66 77

10 101 87

11 94 75

Using an a level of .05, your desire is to test the claim that there is no difference in the before and after treatment test scores. Is there a difference? State in symbols the null and alternate hypothesis. What type of error (Type 1 or Type 2) may have been made in this case? What are the possible consequences of the error?