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 74 dates, the mean record high daily temperature in a certain city has a mean of 82.5°F. Assume the population standard deviation is 14.82°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. O The 95% confidence interval The 90% confidence interval

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
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Author:Carter
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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 74 dates, the mean record high daily temperature in a certain city has a
mean of 82.58° F. Assume the population standard deviation is 14.82°F.
The 90% confidence interval is
(Round to two decimal places as needed.)
The 95% confidence interval is ( I).
(Round to two decimal places as needed.)
Which interval is wider? Choose the correct answer below.
The 95% confidence interval
The 90% confidence 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 74 dates, the mean record high daily temperature in a certain city has a mean of 82.58° F. Assume the population standard deviation is 14.82°F. The 90% confidence interval is (Round to two decimal places as needed.) The 95% confidence interval is ( I). (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 outside 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 67 of the 74 days, and was within the 95% confidence interval for
approximately 70 of the 74 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.
O D. 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.
Transcribed Image Text:Interpret the results. O A. 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 B. You can be certain that the mean record high temperature was within the 90% confidence interval for approximately 67 of the 74 days, and was within the 95% confidence interval for approximately 70 of the 74 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. O D. 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.
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