Seven students volunteered for a comparison of study guides for an advanced course in math- ematics. They were randomly assigned, four to study guide A and three to study guide B. All were instructed to study independently. Following a two-day study period, all students were given an examination about the material covered by the guides, with the following results:
Study Guide A scores: 68; 77; 82; 85
Study Guide B scores: 53; 64; 71
Perform a randomization test by listing all possible ways that these students could have been random- ized to two groups. There are 35 ways. For each outcome, calculate the difference between sample averages. Finally, calculate the two-sided p-value for the observed outcome.