PICK EITHER OPTION 1 OR OPTION 2. DO NOT DO BOTH.

1. Introduce your scenario and data set.

• Provide a brief overview of the scenario you are given above and the data set that you will be analyzing.
• Classify the variables in your 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.

1. 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?
2. 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
3. Discuss the importance of constructing confidence intervals for the population mean.
   • 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?
4. Based on your selected topic, evaluate the following:
   • Find the best point estimate of the population mean.
   • Construct a 95% confidence interval for the population mean. Assume that your data is normally distributed and σ is unknown.
     • Please show your work for the construction of this confidence interval and be sure to use the Equation Editor to format your equations.
   • Write a statement that correctly interprets the confidence interval in context of your selected topic.
5. Based on your selected topic, evaluate the following:
   • Find the best point estimate of the population mean.
   • Construct a 99% confidence interval for the population mean. Assume that your data is normally distributed and σ is unknown.
     • Please show your work for the construction of this confidence interval and be sure to use the Equation Editor to format your equations.
   • Write a statement that correctly interprets the confidence interval in context of your selected topic.
   • Compare and contrast your findings for the 95% and 99% confidence interval.
     • 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.
6. Discuss the process for hypothesis testing.
   • Discuss the 8 steps of hypothesis testing?
   • When performing the 8 steps for hypothesis testing, which method do you prefer; P-Value method or Critical Value method? Why?
7. Perform the hypothesis test.
   • If you selected Option 1:
     • Original Claim: The average salary for all jobs in Georgia is less than $65,000.
     • Test the claim using α = 0.05 and assume your data is normally distributed and σ is unknown.
   • If you selected Option 2:
     • Original Claim: The average age of all patients admitted to the hospital with infectious diseases is less than 65 years of age.
     • Test the claim using α = 0.05 and assume your data is normally distributed and σ is unknown.
   • Based on your selected topic, answer the following:
     1. Write the null and alternative hypothesis symbolically and identify which hypothesis is the claim.
     2. Is the test two-tailed, left-tailed, or right-tailed? Explain.
     3. Which test statistic will you use for your hypothesis test; z-test or t-test? Explain.
     4. What is the value of the test-statistic? What is the P-value?
        What is the critical value?
     5. What is your decision; reject the null or do not reject the null?
        1. Explain why you made your decision including the results for your p-value and the critical value.
     6. State the final conclusion in non-technical terms.
8. Conclusion
   • Recap your ideas by summarizing the information presented in context of your chosen scenario.