Math 192 Homework Assignment #9
Presentation Exercises
Making the NHL Playoffs
- Given these statistics for the Edmonton Oilers and Nashville Predators for the 2003-2004 season, determine whether this paired data is concordant or discordant:
Team |
G/G |
GA/G |
p(making playoffs) |
Actual Result |
Nashville |
2.63 |
2.65 |
0.505 |
made playoffs |
Edmonton |
2.7 |
2.54 |
0.802 |
didn’t make playoffs |
- If the NHL playoffs were determined through a lottery, find the odds of any team making the playoffs (Hint: there are 30 NHL teams and 16 make the playoffs). ODDS = p/(1-p)
Power Play
- We've talked about PP Conversion % in relation to Points quite a bit, but we have not discussed PK%, or Penalty Kill %. This stat measures a team's ability to stop the opposing team that is on a given power play from scoring. The more often a team is able to hold its' opposition from scoring, the greater their PK% will be. For example, if Buffalo allows teams to score on 20 out of 100 power plays, their PK% will be .80, or 80%. For this problem, use the data found in P:\temp\1 Tom Jordan Waleed (labeled Homework Data.MTW) to see if the top 15 teams are statistically significantly better at PK% than the bottom 15 teams using a two-sample t-test (just like we did in class using PPC%). Please include P-values, and make sure you select 'greater than' for the alternative:
- Suppose the NHL did release more statistical data on power plays, specifically about shooting percentages during power plays. Using what you learned from our presentation and your general knowledge of hockey, assess some possible reasons as to why shooting percentages during power plays might not necessarily be a good measure of a team's ability to win (hint: there are many different possible answers).
100 m
- Simulate your own Olympic 100m dash, from the heats until the final based upon data collected from the 2008 Olympics (Mean: 10.370, St Dev: 0.377). CALC > RANDOM DATA > NORMAL. Simulate 19 races (11 heats, 5 Quarters, 2 semis, 1 final) With 8 lanes per race (store c1-c8). Find the winning time from each race and label the top 8 times.
- Using the linear regression model (Time 25.88-0.008040year) what year would you expect the record to be broken given the world record stands at 9.69 now?