Sports and Leisure
During the National Football League preseason, coaches appraise new players and tested veterans. Suppose a rookie is trying to unseat a veteran for the starting tailback position. A random sample of preseason runs is selected for each player, and the number of yards gained on each play is recorded.
a. Find a 99% confidence interval for the variance of yardage gained per run for the veteran tailback.
b. Find a 99% confidence interval for the variance of yardage gained per run for the rookie tailback.
c. Suppose the coach will start the more consistent and dependable tailback. Which player do you think will get the starting position, and why?