Criterion A

Title: NHL Player’s Height Effect the Amount of Penalty Minutes per Season.

Description: I will answer the question of “Does an NHL player’s height effect the cumulative amount of penalty minutes in a season?” using a statistical analysis.

Mathematical Analysis: I will analyze two sets of during this project, which are the player’s height (cm) and their total amount of penalties in a season. I will take the top 100 leading players in total amount of penalty minutes from the 2011-2012 regular season. I will obtain the information from NHL.com. From there I will put the data into a table to perform the chai-squared test, to find out whether or not the two variables are related. I will also put all the data into it to a scatterplot graph to see whether it is a positive or negative correlation.

Criterion B

Data Collection Process:

I collected my data though the NHL.com website for all data used. I put the data into data section then sorted it into an observed table for penalty minutes and height of player. After this I will put the data into a chai-squared test to determine the whether player height independent of penalty minutes.

Site

http://www.nhl.com/ice/playerstats.htm?fetchKey=20122ALLSASALL&viewName=penalties&sort=penaltyMinutes&pg=1

Observed Table For All Regular Seasons

All Years

65-120 PIM

121-175 PIM

176-235 PIM

Height of Player

Totals

5'9"- 6'0"

21

5

3

29

6'1"- 6'2"

31

10

1

42

6'3"- 6'9"

27

2

0

29

Totals

79

17

4

100

Criterion C

IB Project Criterion C

1. The amount of penalty minutes accumulated is independent of an NHL players height.

2. Degrees of Freedom: 4

3. Significance Level: 5%

4. Rejection inequality 8.27>9.49

5. Chi