In the 2010-11 National Hockey League (NHL) regular season, the number of penalty minutes per game for each of the 30 teams ranged from a low of 8.8 for the Florida Panthers to a high of 18.0 for the most penalized New York Islanders. All 30 data values are given in Table 6.3 and are also available in the dataset Hockey Penalties.

Table 6.3

(a) Find the mean and the standard deviation of penalty minutes per game.
(b) Use the data in Table 6.3 from the 2010-11 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:

8.8 10.6 8.9 9.3 9.3 9.6 10.2 10.4 11.0 11.1 11.4 13.6 13.5 11.2 11.2 11.4 11.6 13.9 11.8 12.0 12.7 13.4 13.5 13.6 13.9 14.0 14.5 14.9 16.8 18.0