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 79 dates, the mean record high daily temperature in a certain city has a mean of 85.60°F. Assume the population standard deviation is 14.98°F. 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. O B. 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. O 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. O D. You can be certain that the mean record high temperature was within the 90% confidence interval for approximately 71 of the 79 days, and was within the 95% confidence interval for approximately 75 of the 79 days. ►

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.3: Measures Of Spread
Problem 26PFA
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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 79 dates, the mean record high daily temperature in a certain city has a mean of
85.60°F. Assume the population standard deviation is 14.98°F.
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.
O B. 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.
O 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.
O D. You can be certain that the mean record high temperature was within the 90% confidence interval for
approximately 71 of the 79 days, and was within the 95% confidence interval for approximately 75 of the
79 days.
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 79 dates, the mean record high daily temperature in a certain city has a mean of 85.60°F. Assume the population standard deviation is 14.98°F. 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. O B. 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. O 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. O D. You can be certain that the mean record high temperature was within the 90% confidence interval for approximately 71 of the 79 days, and was within the 95% confidence interval for approximately 75 of the 79 days.
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