A study presents the results of an ANOVA test of the relationship between family wealth and student debt burden in a sample of college students. Family wealth is divided into four quartiles. Student debt burden is divided into two categories: some amount of student loan debt, 1, or no student loan debt, 0.

Table 11.16 shows the mean of the dependent variable for each wealth quartile.

a. Explain what each mean in Table 11.16 tells us.

b. Is it appropriate to conduct an ANOVA test for the relationship between these two variables? Explain your answer.