Drvals for the population mean. Interpret the results and compare the widths of the confidence intervals. If nat the population mean price lies in the second interval. The 95% confidence interval is wider than the 90%. the sample mean price lies in the second interval. The 95% confidence interval is wider than the 90%. hat the population mean price lies in the second interval. The 95% confidence interval is narrower than the

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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You are given the sample mean and the population standard deviation. Use this information
convenient, use technology to construct the confidence intervals.
construct the 90% and 95% confidence intervals for the population mean. Interpret the results and compare the widths of the confidence intervals. If
A random sample of 60 home theater systems has a mean price of $130.00. Assume the population standard deviation is $17.40.
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 wider 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%.
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 narrower than the
%06
Transcribed Image Text:You are given the sample mean and the population standard deviation. Use this information convenient, use technology to construct the confidence intervals. construct the 90% and 95% confidence intervals for the population mean. Interpret the results and compare the widths of the confidence intervals. If A random sample of 60 home theater systems has a mean price of $130.00. Assume the population standard deviation is $17.40. 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 wider 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%. 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 narrower than the %06
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