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 2 allows you to analyze the ages of infectious disease patients at Grady Hospital.
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:
- Discuss the importance of constructing confidence intervals for the population mean.
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- 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?
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- Find the best point estimate of the population mean.
- 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.
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- 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).
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- Write a paragraph that correctly interprets the confidence intervals in context of your selected topic.
- 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