Exercise 7.5 Analyze the following data as a two-factor ANOVA where the subscripts i and j indicate the two factors.

yi jks i 1 2 3 j 1 0.620 1.228 0.615 1.342 3.762 2.245 0.669 2.219 2.077 0.687 4.207 3.357 0.155 2.000 2 1.182 3.080 2.240 1.068 2.741 0.330 2.545 2.522 3.453 2.233 1.647 1.527 2.664 1.999 0.809 1.002 2.939 1.942 2.506 4.285 1.696 The dependent variable is a mathematics ineptitude score. The first factor (i) identifies economics majors, anthropology majors, and sociology majors, respectively.
The second factor ( j) identifies whether the student’s high school background was rural (1) or urban (2).