John is in the process of deciding which one of three graduate schools he should apply to. He decides to judge the quality of the schools on the basis of the Graduate Record Examination (GRE) scores of those who are accepted into the school. A random sample of six students in each school produced the following GRE scores. Assume that the data are normally distributed with equal variances for each school.
a. Set up the ANOVA Table. Use a = 0.05 to determine the critical value.
b. Can he infer at the 10% significance level that the GRE scores differ among the three schools?
School 1 650 620 630 580 710 690
School 2 105 550 700 630 600 650
School 3 590 510 520 500 490 530