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Question: two researchers conducted a study in which two groups of...

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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 25.5 with a standard deviation of 4.3, while the 200 students in group 2 had a mean score of 18.4 with a standard deviation of 4.4. Complete parts (a) and (b) below. (a) Determine the 90% confidence interval for the difference in scores, h-u2. Interpret the interval. The lower bound is The upper bound is (Round to three decimal places as needed.)In baseball, League A allows a designated hitter (DH) to bat for the pitcher, who is typically a weak hitter. In League B, the pitcher must bat. The common belief is that this results in League A teams scoring more runs. In interleague play, when League A teams visit League B teams, the League A pitcher must bat. So, if the DH does result in more runs, it would be expected that league A teams will score more runs in League A park than when visiting League B parks. To test this claim, a random sample of runs scored by league A teams with and without their DH is given in the accompanying table. Complete parts a) through d) below Click the icon to view the data table a) Draw side-by-side boxplots of the number of runs scored by League A teams with and without their DH. Choose the correct graph below ⓔA. OB. 10 15 10 OC. 15 10A researcher wanted to determine if carpeted or uncarpeted rooms contain more bacteria. The table shows the results for the number of bacteria per cubic foot for both types of rooms. A normal probability plot and boxplot indicate that the data are approximately normally distributed with no outliers. Do carpeted rooms have more bacteria than uncarpeted rooms at the α 0.01 level of significance? Full data set Uncarpeted Carpeted 13.4 6.1 12.3 0.8 0.4 5.5 14.2 14.9 15.5 4.5 4.1 8.8 10.3 8.6 4.5 4 EEB Click the icon to view the Student t-distribution table What are the null and alternative hypotheses? Ho: μcarpet - μηο carpet versus H1:μcarpet > μηο carpet Calculate the test statistic, to Round to two decimal places as needed.)

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