Question

Question Help 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. L L League 111.3 10.7 League 2 10.7 10.1 10.3 9.8 10.2 9.3 10.2 9.3 9.6 9.3 9.5 9.2 9.5 9.1 9.4 8.9 9.1 8.8 8.8 8.8 8.5 8.8 8.5 1 7 .9 Let group 1 correspond to League 1 games and group 2 correspond to League 2 games. Choose the correct answer below. O A. Ho: H1-1270 HAHH2 = 0 0 C, Hp: | - =0 HA11-120 OB. Hoi1-H2>0 HAL-H2 = 0 OD. Ho: 441-H2 = 0 HAH-120 b) Find a 95% confidence interval for the positive difference in mean runs per game and interpret your interval. 1 ) The 95% confidence interval for the positive difference in means is ( (Round to two decimal places as needed.) Interpret your interval. Choose the correct answer below. O A. We are 95% confident that the runs scored per game in both leagues will fall in the interval. OB. We are 95% 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 C. We are 95% 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 P= (Round to two decimal places as needed.) (Round to three decimal places as needed.) Click to select your answer(s).

Answer 1

solution a Here to up-M2 70 Hili - M₂²0 b) from the given data ni=12, X = 9.758, s,=0.807 N2 = 14, n=9.179, b2 = 0.691 22 (9,-D 67 (92-D 53 110.8077 +13 (0.69) - ASSL nitq-2 12+11-2 5.E = 5 + + 2) = 50.5565 ( 1 / 2 + + 4) = 0.2935 def = nit 2-2 = 12 +14-2=24 At 95% confidence ta/2 = 2.064 The 95% (-I for Milly es 511-42) I tay SE = 9.758–9.179) + 2-064 (0.2935) = 0.579 + 0-6058 = (0-0268, 1.1848) =(-0.03, 1.18) we ore 95% confident that the amount by which the sury scored in league I games exceed the runs scored in leaguez games will fall in the interval. c) Test statistic t = x1-2 = 0.57 10 = 1.973 = 1.97) P-value = 0.060 d) here P-value 2.0.05, so do not reject to There is no evidence that the league I play this games that generate more interst among fans.