Is there a difference in the runs scored by winning teams in the American League and the

Question:

Is there a difference in the runs scored by winning teams in the American League and the National League in professional baseball? The winning scores for all games played on two randomly selected days were recorded and the league of the winning team was noted. The histogram below shows the winning scores for teams in the National League.

a. Describe the shape of this histogram. Are there any outliers? Would it be more appropriate to compare the means or the medians if we wanted to compare the typical number of runs scored by winning teams in each league? Explain.

b. The results of a Mann-Whitney test to determine whether the median number of runs scored by winning teams differ between the two leagues is shown. Test the hypothesis that there is a difference in the population median runs scored using a significance level of 0.05.