5. 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. If convenient, use technology to construct the confidence intervals. A random sample of 50 home theater systems has a mean price of $147.00. Assume the population standard deviation is $17.20. Construct a 90% confidence interval for the population mean. The 90% confidence interval is (Round to two decimal places as needed.) Construct a 95% confidence interval for the population mean. The 95% confidence interval is ( (Round to two decimal places as needed.) Interpret the results. Choose the correct answer below. O A. With 90% confidence, it can be said that the population mean price lies in the first interval. With 95% confidence, it can be said that the population mean price lies in the second interval. The 95% confidence interval is narrower than the 90%. OB. With 90% confidence, it can be said that the sample mean price lies in the first interval. With 95% confidence, it can be said that the sample mean price lies in the second interval. The 95% confidence interval is wider than the 90%. OC. With 90% confidence, it can be said that the population mean price lies in the first interval. With 95% confidence, it can be said that the population mean price lies in the second interval. The 95% confidence interval is wider than the 90%.
5. 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. If convenient, use technology to construct the confidence intervals. A random sample of 50 home theater systems has a mean price of $147.00. Assume the population standard deviation is $17.20. Construct a 90% confidence interval for the population mean. The 90% confidence interval is (Round to two decimal places as needed.) Construct a 95% confidence interval for the population mean. The 95% confidence interval is ( (Round to two decimal places as needed.) Interpret the results. Choose the correct answer below. O A. With 90% confidence, it can be said that the population mean price lies in the first interval. With 95% confidence, it can be said that the population mean price lies in the second interval. The 95% confidence interval is narrower than the 90%. OB. With 90% confidence, it can be said that the sample mean price lies in the first interval. With 95% confidence, it can be said that the sample mean price lies in the second interval. The 95% confidence interval is wider than the 90%. OC. With 90% confidence, it can be said that the population mean price lies in the first interval. With 95% confidence, it can be said that the population mean price lies in the second interval. The 95% confidence interval is wider than the 90%.
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 22PFA
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Question
![5. 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. If convenient, use technology to construct the confidence intervals.
A random sample of 50 home theater systems has a mean price of $147.00. Assume the population standard deviation is $17.20.
Construct a 90% confidence interval for the population mean.
The 90% confidence interval is
(Round to two decimal places as needed.)
Construct a 95% confidence interval for the population mean.
The 95% confidence interval is (
(Round to two decimal places as needed.)
Interpret the results. Choose the correct answer below.
O A. With 90% confidence, it can be said that the population mean price lies in the first interval. With 95% confidence, it can be said that the population mean
price lies in the second interval. The 95% confidence interval is narrower than the 90%.
O B. With 90% confidence, it can be said that the sample mean price lies in the first interval. With 95% confidence, it can be said that the sample mean price
lies in the second interval. The 95% confidence interval is wider than the 90%.
O C. With 90% confidence, it can be said that the population mean price lies in the first interval. With 95% confidence, it can be said that the population mean
price lies in the second interval. The 95% confidence interval is wider than the 90%.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F275f078e-e6df-4549-aae8-3195dc20960c%2F5257bf7f-36f2-4359-8653-0fd56d70fe53%2Fzby2u1a_processed.jpeg&w=3840&q=75)
Transcribed Image Text:5. 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. If convenient, use technology to construct the confidence intervals.
A random sample of 50 home theater systems has a mean price of $147.00. Assume the population standard deviation is $17.20.
Construct a 90% confidence interval for the population mean.
The 90% confidence interval is
(Round to two decimal places as needed.)
Construct a 95% confidence interval for the population mean.
The 95% confidence interval is (
(Round to two decimal places as needed.)
Interpret the results. Choose the correct answer below.
O A. With 90% confidence, it can be said that the population mean price lies in the first interval. With 95% confidence, it can be said that the population mean
price lies in the second interval. The 95% confidence interval is narrower than the 90%.
O B. With 90% confidence, it can be said that the sample mean price lies in the first interval. With 95% confidence, it can be said that the sample mean price
lies in the second interval. The 95% confidence interval is wider than the 90%.
O C. With 90% confidence, it can be said that the population mean price lies in the first interval. With 95% confidence, it can be said that the population mean
price lies in the second interval. The 95% confidence interval is wider than the 90%.
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