Is there a correlation between alcohol consumption and traffic accidents?

Paper details:

THIS IS AN IB MATHEMTICAL STUDIES INTERNAL ASSESSMENT.

IT HAS TO BE 0% plagiarized.

IT HAS TO FOLLOW THIS CRITERIA:

http://www.murrieta.k12.ca.us/cms/lib5/CA01000508/Centricity/Domain/1456/ia_criterion.pdf

Is there a correlation between alcohol consumption and traffic accidents?

Paper details:

THIS IS AN IB MATHEMTICAL STUDIES INTERNAL ASSESSMENT. IT HAS TO BE 0% plagiarized. IT HAS TO FOLLOW THIS CRITERIA: http://www.murrieta.k12.ca.us/cms/lib5/CA01000508/Centricity/Domain/1456/ia_criterion.pdf

PROJECT MATH STUDIES —–

The mathematical studies project is a piece of written work based on personal research involving the collection, analysis and evaluation of data. Each project should contain:

• a statement of the task

• measurements, information or data which has been collected and/or generated

• an analysis of the measurements, information or data

• an evaluation of the analysis

Students may choose from a variety of project types, for example, modeling, investigations, applications and statistical surveys. Historical projects which reiterate facts but have little mathematical content are not appropriate. These areas of study should relate to the students’ own interests and, although mathematical in nature, may be based in contexts such as sport, art, music, the environment, health, travel, trade and commerce.

Time in class can be used for general discussion of areas of study for project work: how data can be collected, where data can be collected, how much data should be collected, etc. etc.

The teacher will give appropriate guidance at all stages of the project by, for example, providing advice on the content and clarity of the project in the writing-up stage, but it should be clear that all the work connected with the project, including the writing of the project, should be students’ own work. The instructor, in order to ensure that the project is the authentic, personal work of the student may use the following method:

• discussion with the student

• asking the student to explain the methods used and summarize the conclusions

• asking the student to replicate part of the analysis using different data.

The project must be signed on completion to indicate it is the student’s own work. The project is internally assessed by the instructor and externally moderated by the IBO. It will be worth 20% of the final assessment from IBO. Each project will be assessed against the following criteria:

1. INTRODUCTION (defining what the student is going to do and how is going to do it)

2. INFORMATION/MEASUREMENT (data may be generated by computer, collected by observation, by investigation, or by experiment)

3. MATHEMATICAL PROCESSES (students are expected to make use of appropriate techniques: simple and sophisticated ones. For example when presenting diagrams, a freehand sketch would not be considered as a correct mathematical process)

4. INTERPRETATION OF RESULTS (students are expected to produce interpretations or conclusions)

5. VALIDITY (validity of results obtained from the processes used. Did the data and calculations support your task?)

6. STRUCTURE and COMMUNICATION (students are expected to have structured the project systematically using appropriate mathematical language and representation)

7. NOTATION and TERMINOLOGY ( project must be written with proper notation. For example x^2 is not accepted as x2.

For each assessment criterion, there are different levels of achievement. The final mark for each project is the sum of the scores for each criterion. The maximum possible final mark is 20.

PLANNING and DEADLINES: (on going process)

• Project completion:

Before white week February, 2015

PROJECT MODEL

INTRODUCTION: What? And How?

What: In this project I will study the relationship between A and B. I have chosen this topic because….

How: my plan is the following:

? Collecting Data (50 at least: questionnaire, internet source, experiment, …)

Then I will perform the following process:

? Mean, median, mode, standard deviation for both A and B

? First quartile and third quartile for both A and B

? Various graphs (Box and Whiskers, Histograms, …)

? Relative and Cumulative frequency for both A and B.

? Normal Distribution

? Choose three different regressions (linear, quadratic, cubic, exponential, power, log)

? From the regressions I will decide, according to the highest R2, which model is best for the data

? Lastly I will perform ?2 to see if A and B are independent.

? After the processes I will evaluate the results and comment on the validity of the project.

DATA: they must be put in columns, ready for the mathematical processes. Remember 50 data at least.

A B

… …

MATH PROCESSES: perform the processes described in the task.

Remember: For the ?2 test the data must be in a table 2×2, 3×3, 4×4…

If more than 20% of the expected values are less than 5 combine some columns and rows to have a 3×3 matrix.

If you have a 2×2 matrix, Yates’ correction must be applied. Look at the notes on CHI SQUARED.

INTERPRETATION and VALIDITY: comments on results and on the validity (limitations and

improvement)

STRUCTURE, COMMUNICATION and NOTATION, TERMINOLOGY:

Structure the project in such a way it is easy to follow and it is easy to read

Use simple sentences: remember it is math, not English literature

Use proper notation and terminology. For example x^2 is not correct it should be written x2.

Use footnotes and bibliography