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Baseball teams in League 1 play their games with a rule that they believe produces more runs and generates more interest among fans. The data shown below include the average numbers of runs scored per game by League 1 and League 2 teams for one season. Complete parts a through d. League 1 11.6| 10.6| League 2 10.3 10.1 10.6 10.3 10.1 10.1 9.9 9.9 9.8 9.4 9.2 84 10.1 9.8 9.3 92 9.2 9.1 8.8 8.7 8.6 8.6 8.6 7.6 a) Write the null and alternative hypotheses. Let group 1 correspond to League 1 games and group 2 correspond to League 2 games. Choose the correct answer below. O A. H -Hg >0 OB. Hy -2#0 O D. Ho: -2-0 HA -220 OC. H P-P2 -0 b) Find a 90% confidence interval for the positive difference in mean runs per game and interpret your interval. The 90% confidence interval for the positive difference in means is (O. (Round to two decimal places as needed.) Interpret your interval. Choose the correct answer below. O A. We are 90% confident that the amount by which the runs scored in League 2 games exceed the runs scored in League 1 games will fall in the interval. O B. We are 90% confident that the runs scored per game in both leagues will fall in the interval. OC. We are 90% confident that the amount by which the runs scored in League 1 games exceed the runs scored in League 2 games will fall in the interval. c) Test the hypothesis stated above in part a and find the P-value. t= (Round to two decimal places as needed.) P= (Round to three decimal places as needed.) d) Interpret the P-value and state your conclusion. Does the test suggest that League 1 teams score more runs on everage? Use a-0.10. Since P-value > 0.10. do not reject H, and conclude that there is not evidence that the mean number of runs scored by League 1 teams is greater than the mean number of runs scored by League 2 teams. Baseball teams in League 1 play their games with a rule that they believe produces more runs and generates more interest among fans. The data shown below include the average numbers of runs scored per game by League 1 and League 2 teams for one season. Complete parts a through d. League 1 11.6| 10.6| League 2 10.3 10.1 10.6 10.3 10.1 10.1 9.9 9.9 9.8 9.4 9.2 84 10.1 9.8 9.3 92 9.2 9.1 8.8 8.7 8.6 8.6 8.6 7.6 a) Write the null and alternative hypotheses. Let group 1 correspond to League 1 games and group 2 correspond to League 2 games. Choose the correct answer below. O A. H -Hg >0 OB. Hy -2#0 O D. Ho: -2-0 HA -220 OC. H P-P2 -0 b) Find a 90% confidence interval for the positive difference in mean runs per game and interpret your interval. The 90% confidence interval for the positive difference in means is (O. (Round to two decimal places as needed.) Interpret your interval. Choose the correct answer below. O A. We are 90% confident that the amount by which the runs scored in League 2 games exceed the runs scored in League 1 games will fall in the interval. O B. We are 90% confident that the runs scored per game in both leagues will fall in the interval. OC. We are 90% confident that the amount by which the runs scored in League 1 games exceed the runs scored in League 2 games will fall in the interval. c) Test the hypothesis stated above in part a and find the P-value. t= (Round to two decimal places as needed.) P= (Round to three decimal places as needed.) d) Interpret the P-value and state your conclusion. Does the test suggest that League 1 teams score more runs on everage? Use a-0.10. Since P-value > 0.10. do not reject H, and conclude that there is not evidence that the mean number of runs scored by League 1 teams is greater than the mean number of runs scored by League 2 teams.
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