Sports and Leisure
Many basketball purists believe that the three-point shot (a shot from behind the three-point line, 22 feet from the basket) has dramatically changed the game, for the worse. Independent random samples of attempted shots from National Basketball Association games played in 1975 (prior to the three-point shot) and in 2013 were obtained. The shot distance (in feet) was recorded for each attempt. The data are given in the following table.
|
Year
|
Sample size
|
Sample variance
|
|
1975
|
61
|
12.25
|
|
2013
|
61
|
26.01
|
Is there any evidence to suggest that the variability in shot distance is greater in the year 2013 than it was in 1975? Use a = 0.01 and assume normality. (Why do you suppose there is greater variability in shot distance with a three-point shot?)