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. Il convenient, use technology to construct the confidence intervals. A random sample of 55 home theater systems has a mean price of $116,00. Assume the population standard deviation is $19.20. Construct a 90% confidence interval for the population mean. The 90% confidence interval is (Dj. (Round to two decimal places as needed.)