Prior to taking an aerobics class, each of 12 healthclub members is asked to rate the instructor on a scale in which 3 = "excellent," 2 = "good," and 1 = "poor." Following the class, each student is again asked to rate the instructor.
Given the following before-and-after ratings, use the 0.05 level in determining whether there has been a significant improvement in the ratings received by the instructor.
|
Student
|
|
1
|
2
|
3
|
4
|
5
|
6
|
7
|
8
|
9
|
10
|
11
|
12
|
Precourse Rating
|
1
|
3
|
2
|
2
|
2
|
2
|
1
|
3
|
1
|
2
|
2
|
1
|
Postcourse Rating
|
2
|
2
|
3
|
3
|
3
|
2
|
3
|
3
|
3
|
2
|
3
|
2
|