There were 44 goalkeepers who played during the 2020-2021 Premier League soccer season in England. Given Is a Normal

probability plot for the number of shots saved by individual goalkeepers during the entire 2020 season. Based on the

Normal probability plot provided, determine if a Normal distribution is an appropriate approximation for the distribution

of shots saved by Premier League goalkeepers last season. Justify your answer.

A professional sports team evaluates potential players for a certain position based on two main characteristics, speed and

strength. Speed is measured by the time required to run a distance of 40 yards, with smaller times indicating more

desirable (faster) speeds. Strength is measured by the amount of weight lifted, with more weight indicating more

desirable (greater) strength.

Player A Player B

Time to run 40 yaros 4.42 seconds. 4.57 seconds

Amount of weicht lifted. 370 pounds. 375 pounds

a)The characteristics of speed and strength are considered to be of equal importance to the team in selecting a

player for the position. Based on the information about the means and standard deviations of the speed and

strength data for all players and the measurements listed in the table below for Players A and B, which player

should the team select if the team can only select one of the two players? Justify your answer.

A tire manufacturer designed a new tread pattern for its all-weather tires. Repeated

tests were conducted on cars of approximately the same weight traveling at 60 miles per hour. The tests showed that the

new tread pattern enables the cars to stop completely in an average distance of 125 feet with a standard deviation of 6

feet and that the stopping distances are approximately normally distributed.

What is the probability that at least 1 car out of 3 randomly selected cars in the study will stop in a distance that greater

than 131 feet?

Multiple Cho This plot is printed extra-large for your use use with #14. Shots Saved by Goalkeepers (Premier League 2020-21) n = 44 goalkeepers who played in 2020-21 3.00 2.0 1.00 0.0 Expected z-score -1.00 -2.00 3.00 C 50 100 150 Shots Saved