Do the data in Exercise 42 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?