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Two researchers conducted a study in which two groups of students were asked to answer 42 trivia questions from a board game. The students in group 1 were asked to spend 5 minutes thinking about what it would mean to be a professor, while the students in group 2 were asked to think about soccer hooligans. These pretest thoughts are a form of priming. The 200 students in group 1 had a mean score of 24.9 with a standard deviation of 4.6, while the 200 students in group 2 had a mean score of 19.3 with a standard deviation of 3.5. Complete parts (a) and (b) below. (a) Determine the 95% confidence interval for the difference in scores, 1 - 12- Interpret the interval. The lower bound is. The upper bound is (Round to three decimal places as needed.)