# Statistics

You are provided with two options for your course project below. Select ONE of the options below for your analysis.

Option 1 allows you to analyze job salaries for the state of Georgia.

Option 1 Scenario

Option 1 Data Set

Option 2 allows you to analyze the ages of infectious disease patients at Grady Hospital.

Option 2 Scenario

Option 2 Data Set

Review each scenario and data set carefully and choose which scenario you would like to work with. Begin Phase 1 of your analysis by including the following information:

1. Introduce your scenario and data set.

Which variables are quantitative/qualitative?

Which variables are discrete/continuous?

Describe the level of measurement for each variable included in your data set.

2. Discuss the importance of the Measures of Center and the Measures of Variation.

• What are the measures of center and why are they important?
• What are the measures of variation and why are they important?

3. Calculate the measures of center and measures of variation. Interpret your results in context of the selected topic.

• Mean
• Median
• Mode
• Midrange
• Range
• Variance
• Standard Deviation

4. Conclusion

• Recap your ideas by summarizing the information presented.

This week you will begin working on Phase 2 of your course project. Using the same data set and variables for your selected topic, add the following information to your analysis:

1. Discuss the importance of constructing confidence intervals for the population mean.
1.
• What are confidence intervals?
• What is a point estimate?
• What is the best point estimate for the population mean? Explain.
• Why do we need confidence intervals?
2. Find the best point estimate of the population mean.
3. Construct two confidence intervals for the population mean: a 95% confidence interval and a 99% confidence interval. Assume that your data is normally distributed and the population standard deviation is unknown.
1.
• Please show your work for the construction of these confidence intervals and be sure to format your equations to fit the appropriate form (may need editing here).
4. Write a paragraph that correctly interprets the confidence intervals in context of your selected topic.
5. Compare and contrast your findings for the 95% and 99% confidence intervals.
• Did you notice any changes in your interval estimate? Explain.
• What conclusion(s) can be drawn about your interval estimates when the confidence level is increased? Explain.2