Question

You are given the sample mean and the population standard deviation. Use this information to construct the 90% and 95% confidence ntervals 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 $138.00. Assume the population standard deviation is 516.40. Construct a 90% confidence interval for the population mean. The 90% confidence interval is Round to two decimal places as needed.) OD 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. O 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 O B. 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 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 sample mean price the population mean price lies in the second interval. The 95% confidence interval is narrower than the 90% lies in the second interval. The 95% confidence interval is wider than the 90% mean price lies in the second interval. The 95% confidence interval is wider than the 90%

Answer 1