
A First Course in Probability (10th Edition)
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ISBN: 9780134753119
Author: Sheldon Ross
Publisher: PEARSON
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Transcribed Image Text: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 35 home theater systems has a mean price of $149.00. Assume the population standard deviation is $19.90.
Construct a 90% confidence interval for the population mean.
The 90% confidence interval is ( 143.47, 154.53).
(Round to two decimal places as needed.)
Construct a 95% confidence interval for the population mean.
The 95% confidence interval is ( 142.41, 155.59).
(Round to two decimal places as needed.)
Interpret the results. Choose the correct answer below.
O A. With 90% confidence, it can be said that the population mean price lies in the first interval. With 95% confidence, it can be said that the population mean
price lies in the second interval. The 95% confidence interval is narrower than the 90%.
O B. With 90% confidence, it can be said that the population mean price lies in the first interval. With 95% confidence, it can be said that the population mean
price lies in the second interval. The 95% confidence interval is wider than the 90%
O C. 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 than the 90%.
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Step 1
We have given that
Sample size n= 35 , xbar= 149 ,
Sigma = 19.90
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