Action ItemsData Analysis & Inference ProjectPurposeTo assess your ability to:

• define and apply basic terms commonly used in statistics.
• and interpret various graphical and tabular representations of data.
• compute the measures of the center of a data set.
• compute the measures of variation in a data set.
• use the five-number summary and the box plot to analyze a data set.
• identify outliers in the data set.
• construct and interpret confidence intervals for means and proportions.
• conduct hypothesis tests for means or proportions and interpret the results.
• compare the results of the hypothesis test and confidence interval.

1. View the attached documentRequirements of Statistical Reportthat discusses the requirements for a statistical paper.
2. Use the data sets that are given here as Excel spreadsheets:Male-HealthData (Excel)andFemale-HealthData (Excel).These data sets are taken from the web page of the Centers for Disease Control and Preventionhttp://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 thisone 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:
5. Determine the center of the data using the mean, mode, and median.
6. Determine measures of variation (range, standard deviation and variance).
7. Determine the quartiles.
8. Determine the IQR (Inner Quartile Range) and any outliers in the data.
9. 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.
10. Using Excel, group the data into 6 to 10 groups and histogram for the data. (Excel uses bins to group the data. See the attached worksheet for instructions onhow to create histograms using Excel(attachment).
11. Based on the information in the steps above determine if this sample came from a normal population distribution.
12. Draw inferences from the data.For this part you will need to use both male and female data for your variable. Complete the following:
13. Use the sample data to construct a 95% confidence interval for the mean of all males.
14. Use the sample data to construct a 95% confidence interval for the mean of all females.
15. 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.
16. 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.
17. Discuss if the results of the hypothesis test are different from the results of the confidence interval for the difference of two means.
18. a formal paperincorporating and explaining the results in the steps above.The paper must follow the APA guidelines and contain the following information:
19. Include an introduction, body, and conclusions.
20. Describe and give the measures of the center and explain which measure best fits this data set.
21. Describe and give the measures of variation.
22. Include the boxplot (done by using MS Word) and explain what this box plot tells you about the distribution of the data.
23. Show outliers on the box plot, with an explanation of how outliers are determined. Give the quartiles and IQR in this explanation.
24. Include the histogram of the data and a description of the shape of the distribution.
25. Include the three confidence intervals with their correct interpretation.
26. Include all the steps of hypothesis test with correct interpretation.
27. Include a discussion of comparison of the results of hypothesis test and of the confidence interval for the difference of two means.
28. Put your data (both sets) inAppendix A. Remember to document your sources.
29. At the end of the paper inAppendix B include an explanation of what you have learned (about statistics) by completing this project.

FEMALE LEG 295 41.6 2739 42.8 2992 39.0 3745 40.2 4486 36.2 4488 43.2 4878 38.7 4880 41.0 4881 43.8 4835 37.3 4842 42.3 6225 39.1 8680 40.3 8681 48.6 12348 33.2 14651 43.4 16767 41.5 17765 40.0 19377 38.2 19378 38.2 19382 38.2 20278 41.0 21626 38.1 32233 38.0 33104 36.0 33106 32.1 33334 31.1 33335 39.4 34779 40.2 35035 39.2 35272 39.0 35273 36.6 35505 27.0 35506 38.5 35507 39.9 35984 37.5 35988 39.7 36115 39.0 36502 41.6 38089 33.8 MALE LEG 1391 42.5 2129 40.2 2489 44.4 2490 42.8 2738 40.0 2988 47.3 2989 43.4 3346 40.1 3606 42.1 3607 36.0 3608 44.2 3610 36.7 3747 48.4 4832 41.0 4839 39.8 5599 45.2 5600 40.2 5601 46.2 6226 39.0 7190 44.8 7192 40.9 7194 43.1 9073 38.0 9074 41.0 10864 46.0 12349 41.4 15515 42.7 16137 40.5 16521 44.2 16523 41.8 16768 47.2 17006 48.2 18392 42.9 19017 42.8 19381 40.8 19635 42.6 19991 44.9 20518 41.1 21135 44.5 32230 44.0

1. Draw inferences from the data.For this part you will need to use both the male and female data for your variable. Complete the following:Use the sample data to construct a 95% confidence interval for the mean of all males and interpret it in the context of the problem.
2. Use the sample data to construct a 95% confidence interval for the mean of all females and interpret it in the context of the problem.
3. 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 means of males and females.
4. Conduct a hypothesis test with 0.05 significance to test if the mean of all males is different from the mean of all females. Show all steps of hypothesis testing in your report including interpretation of the results.
5. Discuss if the results of the hypothesis test are different from the results of the confidence interval for the difference of two means.
6. a formal paperincorporating and explaining the results from the previous parts.
7. In your report:Describe the data set and the variable you worked with.
8. Give a summary of the analysis you have done in Part 1 of this project:Give the measures of the center and explain which measure best fits this data set.
9. Give the measures of variation.
10. Include the boxplot (done by using MS Word) and explain what this box plot tells you about the distribution of the data.
11. Show outliers on the box plot, with an explanation of how outliers are determined. Give the quartiles and IQR in this explanation.
12. Include the histogram of the data and a description of the shape of the distribution.
13. Give a summary of your findings in Part 2 of this project:Include the three confidence intervals with their correct interpretations.
14. Include all the steps of hypothesis test with correct interpretation.
15. Include a discussion of comparison of the results of hypothesis test and of the confidence interval for the difference of two means.
16. Put your data (both male and female sets) inAppendix A. Remember to document your sources.
17. At the end of the paper inAppendix Binclude an explanation of what you have learned (about statistics) by completing this project.
18. NOTE:Your report should follow APA guidelines.
19. Any tables and graphs from Excel should be cut and pasted into the text of the Word document.
20. Make sure your report has a cp.
21. Make sure to title your paper with a running header labeled with your name, the class number, and the assignment title.
22. Make sure your report has introduction, body, and conclusion parts.