Statistic

STASTISTICS LESSON 8 INSTRUCTIONS

Below is a summary of the expectations for Phase 4 of the course project:

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.

7. 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?

· 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:

2. 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.

2. Which test statistic will you use for your hypothesis test; z-test or t-test? Explain.

2. What is the value of the test-statistic? What is the P-value? What is the critical value?

2. 5.) What is your decision; reject the null or do not reject the null?

5. Explain why you made your decision including the results for your p-value and the critical value.

2. State the final conclusion in non-technical terms.

10. Conclusion

· Recap your ideas by summarizing the information presented in context of your chosen scenario.