A professional sports team evaluates potential players for a certain position based on two maincharacteristics, speed and strength. Speed is measured by the time required to run a distance of 40 yards, with smaller timesa. indicating more desirable (faster) speeds. From previous speed data for all players in thisposition, the times to run 40 yards have a mean of 4.60 seconds and a standard deviation of 0.15seconds, with a minimum time of 4.40 seconds, as shown in the table below. Based on therelationship between the mean, standard deviation, and minimum time, is it reasonable to believethat the distribution of 40-yard running times is approximately normal? Explain. Strength is measured by the amount of weight lifted, with more weight indicating more desirableb.(greater) strength. From previous strength data for all players in this position, the amount ofweight lifted has a mean of 310 pounds and a standard deviation of 25 pounds, as shown in thetable below. Calculate and interpret the z-score for a player in this position who can lift a weightof 370 pounds. The characteristics of speed and strength are considered to be of equal importance to the team inc. selecting a player for the position. Based on the information about the means and standarddeviations of the speed and strength data for all players and the measurements listed in the tablebelow for Players A and B, which player should the team select if the team can only select one ofthe two players? Justify your answer.