In Exercise 12.138 marketing managers for the JC Penney department store chain segmented the market for women’s apparel on the basis of personal and family values. The segments are Conservative, Traditional, and Contemporary.

Recall that the classification was done on the basis of questionnaires. Suppose that in addition to identifying the segment the questionnaire also asked each woman to report family income (in $1,000s). Do these data allow us to infer that family incomes differ between the three market segments?