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...

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 35 home theater systems has a mean price of ​$124.00.
Assume the population standard deviation is ​$19.50.