You are given the sample mean and the population standarddeviation. Use this information to construct the​ 90% and​ 95%confidence intervals for the population mean. Interpret the resultsand compare the widths of the confidence intervals. If​ convenient,use technology to construct the confidence intervals. A randomsample of 40 home theater systems has a mean price of ​$129.00.Assume the population standard deviation is ​$16.60.

Interpret the results. Choose the correct answer below.

A. With​ 90% confidence, it can be said thatthe population mean price lies in the first interval. With​ 95%confidence, it can be said that the population mean price lies inthe second interval. The​ 95% confidence interval is narrower thanthe​ 90%.

B. With​ 90% confidence, it can be said thatthe sample mean price lies in the first interval. With​ 95%confidence, it can be said that the sample mean price lies in thesecond interval. The​ 95% confidence interval is wider than the​90%.

C. With​ 90% confidence, it can be said thatthe population mean price lies in the first interval. With​ 95%confidence, it can be said that the population mean price lies inthe second interval. The​ 95% confidence interval is wider thanthe​ 90%.