You are given the sample mean and the population standard deviation. Use this information convenient, use technology to construct the confidence intervals. construct the 90% and 95% confidence...

Extracted text: You are given the sample mean and the population standard deviation. Use this information convenient, use technology to construct the confidence intervals. construct the 90% and 95% confidence intervals for the population mean. Interpret the results and compare the widths of the confidence intervals. If A random sample of 50 home theater systems has a mean price of $142.00. 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.)