Two Dutch researchers conducted a study in which two groups of students were asked to answer 42 questions from Trivial Pursuit. The researchers believed that by "priming" a student for 5 minutes with a positive mental image would increase their score. The students in Group 1 were asked to first spend 5 minutes thinking about what it would mean to be a professor, while the students in Group 2 were asked to first think about soccer hooligans for 5 minutes. The 200 students in Group 1 had a mean score of 23.4 with a standard deviation of 4.1, while the 200 students in Group 2 had a mean score of 17.9 with a standard deviation of 3.9. Using a 95% confidence interval, perform the appropriate test to confirm or refute the researchers claims.