Data from the National Football League (NFL) from a recent season reported the number of yards gained by each of the league's wide receivers. The data in this Excel file nfl_receiver_yds_webassign shows the yards gained by each wide receiver in the NFL who gained 50 or more yards during the season. The number of yards gained is right-skewed and therefore a normal model is NOT a good model for the data. However, the square root of the number of yards gained can be approximated very well by a N(21.5, 8.3) model. Question 1. Use the normal model to determine the probability that a wide receiver gained 385 yards or less during the season. (Use 4 decimal places). Question 2. A particular wide receiver has a bonus clause in his contract that pays him a bonus of $1 million if his yards gained are in the top 13% of yards gained by wide receivers. How many yards does this receiver have to gain to get the bonus? (Round to nearest yard).
Data from the National Football League (NFL) from a recent season reported the number of yards gained by each of the league's wide receivers. The data in this Excel file nfl_receiver_yds_webassign shows the yards gained by each wide receiver in the NFL who gained 50 or more yards during the season. The number of yards gained is right-skewed and therefore a normal model is NOT a good model for the data. However, the square root of the number of yards gained can be approximated very well by a N(21.5, 8.3) model.
Question 1. Use the normal model to determine the
Question 2. A particular wide receiver has a bonus clause in his contract that pays him a bonus of $1 million if his yards gained are in the top 13% of yards gained by wide receivers. How many yards does this receiver have to gain to get the bonus? (Round to nearest yard).
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