Question 19 of 25 This test: 100 point(s) possible This question: 4 point(s) possible Submit test V 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 $134.00. Assume the population standard deviation is $15.80 Construct a 90% confidence interval for the population mean. The 90% confidence interval is (]). (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.) Interpret the results. Choose the correct answer below. A. With 90% confidence, it can be said that the population mean price lies in the first interval. With 95% confidence, it can be said that the population mean price lies in the second interval. The 95% confidence interval is wider than the 90%. OB. With 90% confidence, it can be said that the population mean price lies in the first interval. With 95% confidence, it can be said that the population mean price lies in the second interval. The 95% confidence interval is narrower than the 90%. OC. With 90% confidence, it can be said that the sample mean price lies in the first interval, With 95% confidence, it can be said that the sample mean price lies in the second interval. The 95% confidence interval is wider than the 90%