In the 2018–2019 National Hockey League (NHL) regular season, the number of penalty minutes per game for each of the 30 teams ranged from a low of 8.7 for the Nashville Predators to a high of 16.8 for the most penalized Tampa Bay Lightning. All 30 data values are given in Table C.11 and are also available in the PIM variable in the dataset HockeyPenalties2019. 

(a) Find the mean and the standard deviation of penalty minutes per game. 

(b) Use the data in Table C.11 from the 2018–2019 season as a sample for all NHL teams in all years, and use the t-distribution to find a 95% confidence interval for the average number of penalty minutes per game by team.

(c) Discuss why it may or may not be appropriate to generalize this sample to the population described in part (b).

Transcribed Image Text:

Table C.11 Penalty minutes per game for 30 NHL teams 8.7 11.3 11.3 11.6 11.9 12.8 13.9 14.6 16.1 8.8 11.7 13.9 10.5 11.8 14.1 11.2 11.9 14.1 11.3 12.5 15.5 11.4 13.2 16.1 11.6 13.3 16.6 11.6 13.8 16.8