Practicing with confidence intervals: You have been hired by a cholesterol-lowering drug company. Your first task is to determine the 97% confidence interval for the true population average of cholesterol levels (population mean). The sample mean is 198 mg/dL and the sample standard deviation is 14 mg/dL. The sample size is 2750. What is the range of values that you are 97% confident contains the population mean? (Don't forget units and to show your work)