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

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. 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?

5. 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.

6. 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.

8. 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?

 

9.Perform the hypothesis test

  • 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?
  6. State the final conclusion in non-technical terms

10. Conclusion: Recap your ideas by summarizing the information presented in context of your chosen scenario.

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