Some of the stages of the Tour de France bicycling championships are over 200 km. In a random sample of 22 riders on Stage 4 of the 2012 Tour de France, Abbeville to Rouen, 214.5 km, times were measured (in minutes), and the sample variance was 4.81 minutes.39 Assuming normality, find a 99% confidence interval for the true population variance in times for Stage 4 of the Tour de France.
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?
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