You are given the sample mean and the population standard deviation. Use this information to construct the​ 90% and​ 95% confidence intervals for the population mean. Interpret the results and compare the widths of the confidence intervals. If​ convenient, use technology to construct the confidence intervals.
A random sample of 55 home theater systems has a mean price of ​$125.00. Assume the population standard deviation is ​$17.90.