You are given the sample mean and the population standarddeviation. Use this information to construct the​ 90% and​ 95%confidence intervals for the population mean. Interpret the resultsand compare the widths of the confidence intervals. If​ convenient,use technology to construct the confidence intervals. A randomsample of 50 home theater systems has a mean price of ​$149.00.Assume the population standard deviation is ​$18.70.
Construct a​ 90% confidence interval for the population mean.The​ 90% confidence interval is ​( _____​, ______​). ​(Round to twodecimal places as​ needed.)