The test scores for selected samples of sociology students who took the course from three different instructors are shown below.
Instructor A
Instructor B
Instructor C
83
90
85
60
55
80
84
91
95
71
At α = 0.05, test to see if there is a significant difference among the averages of the three groups. Use both the critical value and p-value approaches.
SS
df
MS
F
P-value
F critical
374.8
2
187.4
1.563
0.2493
3.89
1438.8
12
119.9
1813.6
14
F = 1.56; p-value is greater than 0.1; do not reject Ho (critical F = 3.89)