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# You are given the sample mean and the population standard deviation. Use this information to construct...

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 45 home theater systems has a mean price of ​\$127.00. Assume the population standard deviation is ​\$19.20.

Construct a​ 90% confidence interval for the population mean.

The​ 90% confidence interval is :

The 95% confidence interval is:

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