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 22.2 with a standard deviation of 3.6, while the 200 students in group 2 had a mean score of 16.1 with a standard deviation of 2.8.

(a) Determine the 95% confidence interval for the difference in scores, 12. Interpret the interval.

The lower bound is _____

The upper bound is _____