47. Designated hitter 2009, part 2. Do the data in Exercise 44 suggest that the American League’s designated hitter rule may lead to more runs per game scored?

a) Write the null and alternative hypotheses.

b) Find a 95% confidence interval for the difference in mean, Runs per game, and interpret your interval.

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 the American League scores more runs on average?