Statistics 3 | essaymoose

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.

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?
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
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?
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 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.
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 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.
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?
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 = 0.05 and assume your data is normally distributed and 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 = 0.05 and assume your data is normally distributed and 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.
Conclusion
- Recap your ideas by summarizing the information presented in context of your chosen scenario.