Question: Sports and Leisure In 1969, the height of Major League Baseball pitching mounds was lowered from 15 to 10 inches. This decreased a pitcher's leverage and presumably the speed of a typical fastball. Fifteen Major League pitchers were selected at random, and each threw his best fastball from a 15-inch mound and from a 10-inch mound. The speed of each pitch (in mph) was recorded.
a. Assume normality. Construct a 99% confidence interval for the true mean difference in fastball speeds from a 15-inch mound and a 10-inch mound.
b. Using the confidence interval in part (a), is there any evidence to suggest that pitching speed is, on average, faster from a higher mound? Justify your answer.