Math

In this module 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.
   • 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. 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, the population standard deviation, 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.
3. 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, the population standard deviation, 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.
4. 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.