Requirements for Project 1
Below is a checklist if items that must be addressed for Project 1.
- Think of a quantitative investigation that someone might contract out to
have done. Then go and perform this investigation and produce a report
on it as though you were handing the report to the person paying for your
services. The purpose of the report is to make recommendations based on
your findings, so be sure to make the recommendations throughout the paper.
Also include a statement on who has hired you and why. Below are the items that the report must contain.
- A description of the sampling technique that was made and how the
technique was applied. You must use
either simple random sampling, stratified sampling, or
cluster sampling. Discuss any bias that might have occurred due to your
sampling technique. Note that bias involves a misrepresentation of the
population so that the sample data will not represent the population data.
Any findings of potential bias should provide a convincing argument why you
think that your sample is more likely to have a higher or lower mean. The
variable must be quantitative and the sample size must be greater than 30.
Be careful not to use the word "random" without fully explaining what you
mean. Also note that simple random sample sampling is usually
impossible to use.
- All relevant charts: must include a histogram, stem and leaf,
and box and
whiskers; and may include pie, and line plot, etc.
- An interpretation of each of the charts in the context your study.
Discuss what each chart says and does not say about the population.
Compare and contrast the charts and state what audience each chart might be
best for.
- A list of the summary statistics and an interpretation of each. This
includes the mean, variance, Standard Deviation, and several other statistics
that have been mentioned in the class.
Pay special attention to the standard deviation, as it is the newly learned
statistic for this project. Project without at least a full paragraph
devoted to the standard deviation cannot receive an "A" grade. In
particular, is the Empirical Rule appropriate or must you resort to
Chebyshev's Theorem? What does the rule or theorem say about your
population? Discuss how to use a z-score for your study. Make sure you interpret
all statistics in this project in the
context of the survey rather than just list the definitions.
- A synopsis of the importance of your findings. Include
recommendations that you will give to interested parties based on the mean,
standard deviation, IQR, each of the charts, etc. In your
recommendations, include the specific values. For example, if your study
was on the age that students first learned the quadratic formula and the mean
was 15.3, do not just say "The mean could be used to understand when people
learn the quadratic formula." Instead, you would write, "Students are
learning the quadratic formula on average just after they turn 15. Based
on this, high schools should be leery about moving chemistry, which requires
this knowledge, to the freshmen year." Be sure to state who
the interested parties are. This should be incorporated throughout the
paper not just at the beginning and end.
- A discussion of how further studies could be done in order to delve deeper
into the topic.
Click here for a video on using Statcato for the project
Grading will be based on completeness, mathematical accuracy, proper use of
statistical terminology, and your ability to communicate the results. All
charts and statistics must be computer generated. The paper should be
typed, double spaced, and have 12 point font. Note that for a scientific
paper you should avoid the use of the pronouns "I", "me", "we", and "us".
Refer to yourselves as "the researchers" or "the authors".
This is a paper not a series of answers to questions. The paper should be
written in essay form and must provide proper citations of all sources used. The Writing Center is an excellent source to get
assistance on your writing and the MSC is a great place to go for statistics
assistance.
Rubric for the Project Grades
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