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 55 home theater systems has a mean price of $144.00. Assume the population standard deviation is $17.20. Construct a 90% confidence interval for the population mean. The 90% confidence interval is OO (Round to two decimal places as needed.)

MATLAB: An Introduction with Applications
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Author:Amos Gilat
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**Constructing Confidence Intervals for the Population Mean**

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 55 home theater systems has a mean price of $144.00. Assume the population standard deviation is $17.20.

**Task:**  
Construct a 90% confidence interval for the population mean.

- The 90% confidence interval is (⬜,⬜).  
(Round to two decimal places as needed.)
Transcribed Image Text:**Constructing Confidence Intervals for the Population Mean** 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 55 home theater systems has a mean price of $144.00. Assume the population standard deviation is $17.20. **Task:** Construct a 90% confidence interval for the population mean. - The 90% confidence interval is (⬜,⬜). (Round to two decimal places as needed.)
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