Statistics

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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
 
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