14.30 Sixteen freshmen on a college campus were grouped into eight pairs in such a way that the two members of any pair were as similar as possible in academic backgrounds—

as measured by high school class rank and achievement test scores—and also in social backgrounds.

The major difference within pairs was that one student was an in-state student and the other was from out of state. At the end of the first year of college, grade point averages of these students were recorded, yielding the results shown in the table. Use the Wilcoxon test to analyze the data. Discuss the implications of the test results.

Pair In State Out of State A 3.4 2.8 B 3.0 3.1 C 2.4 2.7 D 3.8 3.3 E 3.9 3.7 F 2.3 2.8 G 2.6 2.6 H 3.7 3.3