1. 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 26.7 with a standard deviation of 5.3, while the 200200 students in group 2 had a mean score of 15.4 with a standard deviation of 2.4. Complete parts (a) and (b) below. (a) Determine the 95% confidence interval for the difference in scores, mu 1 minus mu 212. Interpret the interval. 2. A random sample of 40 adults with no children under the age of 18 years results in a mean daily leisure time of 5.24 hours, with a standard deviation of 2.38 hours. A random sample of 40 adults with children under the age of 18 results in a mean daily leisure time of 4.07 hours, with a standard deviation of 1.54 hours. Construct and interpret a 95% confidence interval for the mean difference in leisure time between adults with no children and adults with children left parenthesis mu 1 minus mu 2 right parenthesis 12. Let 1 represent the mean leisure hours of adults with no children under the age of 18 and 2 represent the mean leisure hours of adults with children under the age of 18. The 95% confidence interval for left parenthesis mu 1 minus mu 2 right parenthesis 12 is the range from ? hours to ? hours. 3