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 interval From a random sample of 79 dates, the mean record high daily temperature in a certain city has a mean of 85.03°F. Assume the population standard deviation is 13.95°F. The 90% confidence interval is (ON). (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 O 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. O B. 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. OC. 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 D. You can be certain that the population mean record high temperature s either between the lower bounds of the 90% and 95% confidence intervals or the upper bounds of the 90% and 95% confidence intervals.
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 interval From a random sample of 79 dates, the mean record high daily temperature in a certain city has a mean of 85.03°F. Assume the population standard deviation is 13.95°F. The 90% confidence interval is (ON). (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 O 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. O B. 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. OC. 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 D. You can be certain that the population mean record high temperature s either between the lower bounds of the 90% and 95% confidence intervals or the upper bounds of the 90% and 95% confidence intervals.
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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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 85.03°F. Assume the population standard deviation is 13.95°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.
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 71 of the 79 days, and was within the 95% confidence interval for approximately 75 of the 79 days.
C. 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.
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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