Baseball teams in League 1 play their games with a rule that they believe produc

Question

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 od League 1 11.1 110,7 League 2 10.9 10.6 9.9 10.1 9.8 9.6 9.8 9.3 9.3 9.2 9.3 10.3 10.1 9.6 9.3 9.6 9.2 8.9 8.7 8.6 8.5 8.5 7.8 b) Find a 95% confidence interval for the positive difference in mean runs per game and interpret your interval The 95% confidence interval for the positive difference in means is (-0.25 , 1.04 ) (Round to two decimal places as needed.) Interpret your interval. Choose the correct answer below A. 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 B. 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 ° C. We are 95% confident that the runs scored per game in both leagues will fall in the interval c) Test the hypothesis stated above in part a and find the P-value t- 1.27 (Round to two decimal places as needed.) P = (Round to three decimal places as needed.)

Explanation / Answer

The statistical software output for this problem is:

Two sample T hypothesis test:
1 : Mean of League 1
2 : Mean of League 2
1 - 2 : Difference between two means
H0 : 1 - 2 = 0
HA : 1 - 2 > 0
(without pooled variances)

Hypothesis test results:

Hence,

P = 0.107

Difference Sample Diff. Std. Err. DF T-Stat P-value 1 - 2 0.39166667 0.30729343 23.983317 1.274569 0.1073

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