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 59 dates, the mean record high daily temperature in a certain city has a mean of 86.31 °F. Assume the population standard deviation is 14.78°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 95% confidence interval The 90% confidence interval Interpret the results. OA. 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. O B. You can be certain that the mean record high temperature was within the 90% confidence interval for approximately 53 of the 59 days, and was within the 95% confidence interval for approximately 56 of the 59 days. OC. 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. O 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.

MATLAB: An Introduction with Applications
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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 59 dates, the mean record high daily temperature in a certain city has a mean of 86.31 °F. Assume the population
standard deviation is 14.78°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 95% confidence interval
The 90% confidence interval
Interpret the results.
O
A. 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.
B. You can be certain that the mean record high temperature was within the 90% confidence interval for approximately 53 of the 59
days, and was within the 95% confidence interval for approximately 56 of the 59 days.
C. 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.
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 59 dates, the mean record high daily temperature in a certain city has a mean of 86.31 °F. Assume the population standard deviation is 14.78°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 95% confidence interval The 90% confidence interval Interpret the results. O A. 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. B. You can be certain that the mean record high temperature was within the 90% confidence interval for approximately 53 of the 59 days, and was within the 95% confidence interval for approximately 56 of the 59 days. C. 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. 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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