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 . 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 the population mean price lies in the second interval . The 95% confidence interval is narrower than the 90 % . 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 sample mean price lies in the second interval . The 95% confidence interval is wider 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% .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 60 home theater systems has a mean price of $132. 00 . Assume the population standard deviation is $19.90