"A number of years ago, the student association of a large university published an evaluation of several hundred courses taught during the preceding semester. Students in each course had completed a questionnaire in which they rated a number of different aspects of the course on a 5-point scale (1= very bad to 5=excellent)" (p. 535). The variables obtained are:

1. teach - rating of teaching skills of the instructor.
2. exams - quality of tests and exams
3. knowledge - rating of the instructor's knowledge of the material
4. grade - student's anticipated grade for the course (1=F to 5=A)

Teach	Exams	Knowledge	Grade
3.8	3.8	4.5	3.5
2.8	3.2	3.8	3.2
2.2	1.9	3.9	2.8
3.5	3.5	4.1	3.3
3.2	2.8	3.5	3.2
2.7	3.8	4.2	3.2
4.1	3.8	4.5	3.6
4.2	4.1	4.7	4.0
3.7	3.6	4.1	3.0
3.7	3.6	4.1	3.1
3.3	3.5	3.9	3.0
2.2	3.3	3.9	3.3
4.1	3.6	4.0	3.2
3.1	3.8	4.1	3.4
2.9	3.8	4.5	3.7

Determine if these variables are just the same with one another.

1. What is the F-value?

2. What type of ANOVA was used?

• Two-Way
• One-Way

3. What is the conclusion?

• Do Note Reject the Null Hypothesis
• Reject the Null Hypothesis

4. What is the conclusion statement?

• The variable obtained are the same with one another
• The variable obtained are not the same with one another

5. What is the p-value?