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 d.

League 1

11.5, 10.7, 10.3, 10.2, 9.9, 9.9, 9.9, 9.6, 9.5, 9.3, 8.6, 8.5

League 2

10.2, 10.2, 9.7, 9.4, 9.3, 9.3, 9.1, 9.1, 8.8, 8.7, 8.6, 8.5, 8.5, 7.6

a) Write the null and alternative hypotheses.

Answer: H0: 12=0

HA: 12>0

b) Find a 98% confidence interval for the positive difference in mean runs per game and interpret your interval.

The 98% confidence interval for the positive difference in means is ( , ).

(Round to two decimal places as needed.)

c) Test the hypothesis stated above in part a and find the P-value.

d) Interpret the P-value and state your conclusion. Does the test suggest that League 1 teams score more runs on average? Use (alpha) =0.05.

Compare the P-value found in part c to the significance level of the test.

Explanation / Answer

From the given data

p-value = 0.0109

As p-value is less than the significance level of 0.05, we reject the null hypothesis. This means there is significant evidence to conclude that League 1 teams score more runs on average.

98% CI

Given Data League 1 League 2 Name mean 9.825 9.07142857 Sample size 12 14 Std. dev. 0.83 0.70

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