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For collegiate women soccer players the concussion rate is .63 per 1,000 player participation hours ( practice and game participation hours), for collegiate men soccer

For collegiate women soccer players the concussion rate is .63 per 1,000 player participation hours (practiceandgameparticipation hours), for collegiate men soccer players the concussion rate is .41 per 1,000 player participation hours (the concussion rate in college football is .61 per 1,000 player participation hours).

Over an entire season a typical collegiate soccer team (men and women) has about 3,200 player participation hours. This results in the number of concussions on a women's collegiate soccer team having an expected value 2.02 and standard deviation 1.42; for a men's collegiate soccer team the number of concussions has expected value 1.31 and standard deviation 1.15.

Question 1. At the conclusion of a recent soccer season a random sample of 40 men's soccer teams is selected and the number of concussions experienced by each team is recorded. What is the probability that the mean number of concussions experienced by the 40 men's soccer teams is greater than 1.5? (Use 3 decimal places).

Question 2. At the conclusion of a recent soccer season a random sample of 40 women's soccer teams is selected and the number of concussions experienced by each team is recorded. What is the probability that the mean number of concussions experienced by the 40 women's soccer teams is greater than 1.5? (Use 3 decimal places).

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