A statistics instructor wonders whether significant differences exist in her students’ final exam scores in her three different sections. She randomly selects the scores from 10 students in each section. A portion of the data is shown in the accompanying table. Assume exam scores are normally distributed.

Section 1 Section 2 Section 3
85 91 74
68 84 69
69 92 62
52 78 78
68 78 54
95 70 67
80 73 67
74 87 84
63 59 66
74 75 73

a. Construct an ANOVA table.
b. Do these data provide enough evidence at the 5% significance level to indicate that there are some differences in final exam scores among these three sections?