1. A professional sports team evaluates potential players for a certain position based on two main characteristics, speed and strength.
(a) Speed is measured by the time required to run a distance of 40 yards, with smaller times indicating
more desirable (faster) speeds. From previous speed data for all players in this position, the times to run
40 yards have a mean of 4.60 seconds and a standard deviation of 0.15 seconds, with a minimum time of
4.40 seconds, as shown in the table below.
Mean
Standard Deviation
Minimum
4.40 seconds
Time to run 40 yards 4.60 seconds
0.15 seconds
Based on the relationship between the mean, standard deviation, and minimum time, is it reasonable to
believe that the distribution of 40-yard running times is approximately normal? Explain.
Thi Strength is measured by the amount of weight lifted, with more weight indicating more desirable (greater)