You are given the sample mean and the population standard deviation. Use this nformation to construct the 90% and 95% confidence intervals for the population mean nterpret the results and compare the widths of the confidence intervals. From a random sample of 72 dates, the mean record high daily temperature in a certai city has a mean of 82.39°F. Assume the population standard deviation is 13.68°F. ...

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
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Chapter1: Starting With Matlab
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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.
From a random sample of 72 dates, the mean record high daily temperature in a certain
city has a mean of 82.39°F. Assume the population standard deviation is 13.68°F.
The 90% confidence interval is
(Round to two decimal places as needed.)
The 95% confidence interval is
(Round to two decimal places as needed.)
Which interval is wider? Choose the correct answer below.
The 90% confidence interval
The 95% confidence interval
Interpret the results.
(
O A. You can be certain that the population mean record high temperature is either
between the lower bounds of the 90% and 95% confidence intervals or the upper
bounds of the 90% and 95% confidence intervals.
B. You can be certain that the mean record high temperature was within the 90%
confidence interval for approximately 65 of the 72 days, and was within the 95%
confidence interval for approximately 68 of the 72 days.
OC. You can be 90% confident that the population mean record high temperature is
between the bounds of the 90% confidence interval, and 95% confident for
the 95% interval.
D. You can be 90% confident that the population mean record high temperature is
outside the bounds of the 90% confidence interval, and 95% confident for
the 95% interval.
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. From a random sample of 72 dates, the mean record high daily temperature in a certain city has a mean of 82.39°F. Assume the population standard deviation is 13.68°F. The 90% confidence interval is (Round to two decimal places as needed.) The 95% confidence interval is (Round to two decimal places as needed.) Which interval is wider? Choose the correct answer below. The 90% confidence interval The 95% confidence interval Interpret the results. ( O A. You can be certain that the population mean record high temperature is either between the lower bounds of the 90% and 95% confidence intervals or the upper bounds of the 90% and 95% confidence intervals. B. You can be certain that the mean record high temperature was within the 90% confidence interval for approximately 65 of the 72 days, and was within the 95% confidence interval for approximately 68 of the 72 days. OC. You can be 90% confident that the population mean record high temperature is between the bounds of the 90% confidence interval, and 95% confident for the 95% interval. D. You can be 90% confident that the population mean record high temperature is outside the bounds of the 90% confidence interval, and 95% confident for the 95% interval.
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