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 45 home theater systems has a mean price of $115,00 Assume the population standard deviation is $15,40 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 moan. The 95% confidence interval isp (Round to two decimal places as needed ) Interpret the results. Choose the correct answer below. O A. 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%. O B. 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%. O C. 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%