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

Yijk S 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 identifies economics majors, anthropology majors, and sociology majors, respectively. The second factor identifies whether the student's high school background was rural (1) or urban (2).