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 50 home theater systems has a mean price of ​$145.00. Assume the population standard deviation is ​$16.60.       Construct a​ 90% confidence interval for the population mean.   The​ 90% confidence interval is ​(141.14141.14​,148.86148.86​). ​(Round to two decimal places as​ needed.) Construct a​ 95% confidence interval for the population mean.   The​ 95% confidence interval is ​(enter your response here​,enter your response here​). ​(Round to two decimal places as​ needed.)

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
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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
50
home theater systems has a mean price of
​$145.00.
Assume the population standard deviation is
​$16.60.
 
 
 
Construct a​ 90% confidence interval for the population mean.
 
The​ 90% confidence interval is
​(141.14141.14​,148.86148.86​).
​(Round to two decimal places as​ needed.)
Construct a​ 95% confidence interval for the population mean.
 
The​ 95% confidence interval is
​(enter your response here​,enter your response here​).
​(Round to two decimal places as​ needed.)
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