​​ ​​ ​​Question :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. o What are confidence intervals? o What is a point estimate? o What is the best point estimate for the population mean? Explain. o Why do we need confidence intervals? 2. Based on your selected topic, evaluate the following: o Find the best point estimate of the population mean. o Construct a 95% confidence interval for the population mean. Assume that your data is normally distributed and à Æ' 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. o Write a statement that correctly interprets the confidence interval in context of your selected topic. 3. Based on your selected topic, evaluate the following: o Find the best point estimate of the population mean. o Construct a 99% confidence interval for the population mean. Assume that your data is normally distributed and à Æ' 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. o 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. o Did you notice any changes in your interval estimate? Explain. o What conclusion(s) can be drawn about your interval estimates when the confidence level is increased? Explain.