You are given the sample mean and the sample standard deviation. Use this information to contruct the 90% and 95% confidence intervals for the population mean . Interpret the result result and compare the widths of the confidence intervals. If convenient, use technology to construct the confidence intervlas. A random sample of 60 home theater systems has a mean price of $ 121.00 and a standard deviation is $17.00. A. Construct a 90% confidence intervals for the population. The 90% confidence interval is (____,___)(round to two decimal place as needed. B Construct a 95% confidence intervals is (___,___) C. Interprest the result , choose the correct answer 1.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 thatn the 90% 2.'' '' '' the population mean price lies in the first interval . With 95 % """""""""" 3.With 90% confidence it can be said that the population mean price lies in the firs interval .With 95% confidence it can be said that the population mean price lies in the second