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
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
Big Ideas Math A Bridge To Success Algebra 1: Student Edition 2015
1st Edition
ISBN:9781680331141
Author:HOUGHTON MIFFLIN HARCOURT
Publisher:HOUGHTON MIFFLIN HARCOURT
Chapter11: Data Analysis And Displays
Section: Chapter Questions
Problem 5CR
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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](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F22842716-1f62-4234-8cc2-bcb4642b94b0%2Fe7c92dd2-efd3-46b6-8085-8954d22c9bdc%2Fdpwr7cr_processed.jpeg&w=3840&q=75)
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.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F22842716-1f62-4234-8cc2-bcb4642b94b0%2Fe7c92dd2-efd3-46b6-8085-8954d22c9bdc%2F1tl278p_processed.jpeg&w=3840&q=75)
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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