Math Paper

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IB Math Studies Rough Draft

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

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