3. A respected theory suggests that professors with offices on upper floors are friendlier than those in basements because they can look out of and open their windows. To test this theory, a sample of professors from the 2nd-floor and 1st-floor of Stewart Hall take a 10-item friendliness inventory (higher score = more friendly). Is the theory supported? Use a 1-tailed, independent-samples t-test with = .05 to test this theory (9 pts). Scores for professors on 1st floor: 2, 6, 1, 2 Scores for professors on 2nd floor: 19, 5, 18, 16