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 $114.00. Assume the population standard deviation is $17.80. on The 90% confidence interval is (| |. D. (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.)