1. It is often difficult (if not impossible) to determine the population mean. We use confidence Intervals to estimate where we think the true mean lies. Discuss the advantages of using a confidence interval. Provide an original example of a large population of data that is suited to a confidence interval estimate. This would be an example where it would not be possible to find the true mean. 2. Provide an original example using the one-mean z-interval procedure (population standard deviation known). For this example, provide the following items: Describe the assumptions that must be met before using this procedure. Compute the confidence interval for a 95% confidence level. Show all work. 3. Provide an original example using the one-mean t-interval procedure (population standard deviation unknown). For this example, provide the following items: Describe the assumptions that must be met before using this procedure. Compute the confidence interval for a 95% confidence level. Show all work. 4. Discuss the factors that influence the accuracy of the confidence interval estimate