For the same reasons identified in Exercise 42, a friend of yours claims that the average number of home runs hit per game is higher in the American League than in the National League. Using the same 2012 data as in Exercises 42 and 44, you decide to test your friend’s theory.

a) Using the data provided on the CD, check the conditions for this test.

b) Write the null and alternative hypotheses for this test.

c) Test the hypothesis and find the P-value.

d) What is your conclusion?

e) Use the pooled t-test to test the hypothesis and compare your answer to parts c and d.