MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN: 9781119256830
Author: Amos Gilat
Publisher: John Wiley & Sons Inc
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Statistics Question 21

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 60 home theater systems has a mean price of $130.00. Assume the population standard deviation is
$17.80.
Construct a 90% confidence interval for the population mean.
The 90% confidence interval is ().
(Round to two decimal places as needed.)
Construct a 95% confidence interval for the population mean.
The 95% confidence interval is ().
(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 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%.
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 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%.
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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 60 home theater systems has a mean price of $130.00. Assume the population standard deviation is $17.80. Construct a 90% confidence interval for the population mean. The 90% confidence interval is (). (Round to two decimal places as needed.) Construct a 95% confidence interval for the population mean. The 95% confidence interval is (). (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 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%. 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 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%.
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