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 I 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 protest thoughts are a form of priming The 200 students in group 1 had a mean score of 23 with a standard deviation of 3.7, while the 200 students in group 2 had a mean score of 18.8 with a standard deviation of 3.3. Complete parts (a) and (b) below. (a) Determine the 90% confidence interval for the difference in scores, u. -jy: Interpret the interval The lower bound is The upper bound is (Round to three decimal places as needed) (b) What does this say about priming? If a confidence interval for the difference between two population means contains zero, then it is possible that the two populations have the same mean. If the confidence interval does not contain zero, then it is improbable that the two populations have the same mean