Baseball 2006. American League baseball teams play their games with the designated hitter rule, meaning that pitchers do not bat. The league believes that replacing the pitcher, traditionally a weak hitter, with another player in the batting order produces more runs and generates more interest among fans. Below are the average numbers of runs scored in American League and National League stadiums for the 2006 season. American National 11.4 9.9 10.5 9.5 10.5 9.7 10.3 9.4 10.4 9.1 10.0 9.1 10.3 9.0 10.0 9.0 10.2 9.0 9.7 9.0 10.0 8.9 9.7 8.9 9.9 8.8 9.6 8.9 9.5 7.9 (a) Using a 95% confidence interval, estimate the difference between the mean number of runs in American and National League games.(b) Interpret your interval. (A sloppy interpretation will do.)(c) Does your interval suggest that the two leagues may differ in average number of runs scored per game?3. In Minitab, open the data set PULSE. mtw. You may assume that these 92 students are a random sample of all undergraduates.(a) Obtain a 95% confidence interval for µF – µM, the extent to which average pulse rates of female undergraduates exceeds that of male undergraduates. Provide a "sloppy" interpretation of your interval.(b) What is a 95% confidence interval for µM – µF?(c) Obtain boxplots of the two sets of pulse rates. Do they look as though they come from normal populations?