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 $137.00. Assume the population standard deviation is $19.30

Construct a 95% confidence interval for the population mean.

The 95% confidence interval is (?,)

(Round to two decimal places as Needed.)

Construct a 90% confidence interval for the population mean. The 90% confidence interval is ( 132.71 , 141.29 ). (Round to two decimal places as needed.) Construct a 95% confidence interval for the population mean. The 95% confidence interval is (Round to two decimal places as needed.)