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 $144.00. Assume the population standard deviation is $15.70. Construct a 90% confidence interval for the population mean. The 90% confidence interval is (139.65, 148.35). (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.)