# Statistics Project Paper

**Paper, Order, or Assignment Requirements**

Overview

This project must be done individually, not in a group. This project will be submitted as a formal paper and

must contain an introduction, a body, conclusions and APA formatted citations. Material that is used from the

text must be cited. The body should describe the data, the tests you ran on that data, and your results. There

also needs to be a conclusion that summarizes your results as well as a statement of what you learned by

completing this project. Do not put the raw data in the body of the paper, but do put your raw data into an

appendix for your paper. (You may copy and paste the data from Excel into the Word document. Do not

include extraneous cells.) Graphs and charts should appear in the body of the paper and be accompanied by

an explanation of what the graph or chart shows. You must also submit this assignment to TurnItIn.com prior

to turning it in to your instructor in order to receive credit.

Action Items

1. View the attached document Requirements of Statistical Report that discusses the requirements for a

statistical paper.

2. Use the data sets that are given here as Excel spreadsheets: Male-HealthData (Excel) and Female-

HealthData (Excel). These data sets are taken from the web page of the Centers for Disease Control

and Prevention http://www.cdc.gov/nchs/nhanes.htm

3. These data sets have 13 variables each. Check the course page for “Assignment of Variable” to see if

your instructor has assigned one of the thirteen variables to you. If not, email your instructor to assign

one of the 13 variables to you. You will need to use both the male and female data for this one

variable. The raw data will go in Appendix A of your paper. Include the data for YOUR VARIABLE

ONLY.

4. Analyze the data set. For this part, if you are male use the male variable; if you are female, use the

female variable. Complete the following:

a. Determine the center of the data using the mean, mode, and median.

b. Determine measures of variation (range, standard deviation and variance).

c. Determine the quartiles.

d. Determine the IQR (Inner Quartile Range) and any outliers in the data.

e. Create the modified boxplot of the data showing any outliers. (You may need to draw this, using MS

Word tools.) Make sure that your boxplot has a proper scale.

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f. Using Excel, group the data into 6 to 10 groups and create a histogram for the data. (Excel uses bins

to group the data. See the attached worksheet for instructions on how to create histograms using

Excel (attachment).

g. Based on the information in the steps above determine if this sample came from a normal population

distribution.

5. Draw inferences from the data. For this part you will need to use both male and female data for your

variable. Complete the following:

a. Use the sample data to construct a 95% confidence interval for the mean of all males.

b. Use the sample data to construct a 95% confidence interval for the mean of all females.

c. Use the sample data to construct a 95% confidence interval for the difference of means of all males

and all females. Explain if there is a difference between the two means.

d. Conduct a hypothesis test with 0.05 significance to test if the mean of all males is different than the

mean of all females. Show all steps of hypothesis testing in your report including interpretation of the

results.

e. Discuss if the results of the hypothesis test are different from the results of the confidence interval for

the difference of two means.

6. Write a formal paper incorporating and explaining the results in the steps above. The paper must follow

the APA guidelines and contain the following information:

a. Include an introduction, body, and conclusions.

b. Describe and give the measures of the center and explain which measure best fits this data set.

c. Describe and give the measures of variation.

d. Include the boxplot (done by using MS Word) and explain what this box plot tells you about the

distribution of the data.

e. Show outliers on the box plot, with an explanation of how outliers are determined. Give the quartiles

and IQR in this explanation.

f. Include the histogram of the data and a description of the shape of the distribution.

g. Include the three confidence intervals with their correct interpretation.

h. Include all the steps of hypothesis test with correct interpretation.

i. Include a discussion of comparison of the results of hypothesis test and of the confidence interval for

the difference of two means.

7. Put your data (both sets) in Appendix A. Remember to document your sources.

8. At the end of the paper in Appendix B include an explanation of what you have learned (about

statistics) by completing this project.

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**Category**: Mathematics