Your professor is interested in determining if the time a student spends taking an examinations is related to the grade that the student earns on the exam. He has gathered the following information on examination scores and the length of time the student takes to complete it. The values in the table are the number of students in each category. Test to see if there is a relationship (include all steps including a statement of the hypotheses you are testing) use a 5% significance level. What does your conclusion mean?
Grade Time Spent Less than ½ Hour ½ Hour to 1 Hour More than one Hour
A 4 6 12
B 2 18 15
C 10 20 17
D 6 8 7
F 5 5 5