In Exercise 3.86 on page 204, we construct an interval estimate for mean penalty minutes given to NHL players in a season using data from players on the Ottawa Senators as our sample. Some percentiles from a bootstrap distribution of 1000 sample means are shown below. Use this information to find and interpret a 98% confidence interval for the mean penalty minutes of NHL players. Assume that the players on this team are a reasonable sample from the population of all players.

Exercise 3.86

Table 3.4 on page 174 shows the number of points scored and penalty minutes for 24 ice hockey players on the Ottawa Senators NHL team for the 2009€“2010 season. The data are also stored in OttawaSenators. Assume that we consider these players to be a sample of all NHL players.

Table 3.4

2.5% 99.0% 0.5% 1.0% 2.0% 5.0% 95.0% 97.5% 98.0% 99.5% 70.0 76.7 Percentile 27.4 29.4 31.2 31.8 34.7 65.9 70.9 81.1 34 Points Pen mins 71 53 59 49 48 29 26 24 57 32 28 26 121 26 53 20 13 22 22 20 54 34 18 38 28 Points Pen mins 13 11 3 22 175 3 24 45 18 16 14 14 38 5 40 16 20 20 107 190 12 14