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nstruct a 90% contidence interval for the population mea e 90% confidence interval is ( 139.97 150.03 ). Lound to two decimal places as needed.) onstruct a 95% confidence interval for the population mean. The 95% confidence interval is ( 139, 151) 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 sample mean price lies in the first interval. With 95% confidence, it can be said that the sam 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 population mean price lies in the first interval. With 95% confidence, it can be said that the pe 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 po mean price lies in the second interval. The 95% confidence interval is narrower than the 90%.

nstruct a 90% contidence interval for the population mea e 90% confidence interval is ( 139.97 150.03 ). Lound to two decimal places as needed.) onstruct a 95% confidence interval for the population mean. The 95% confidence interval is ( 139, 151) 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 sample mean price lies in the first interval. With 95% confidence, it can be said that the sam 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 population mean price lies in the first interval. With 95% confidence, it can be said that the pe 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 po mean price lies in the second interval. The 95% confidence interval is narrower than the 90%.

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
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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. If convenient, use technology to construct the confidence intervals. A random sample of 35 home theater systems has a mean price of $145.00. Assume the population standard deviation is $18.10. Construct a 90% confidence interval for the population mean. The 90% confidence interval is (139.97, 150.03). (Round to two decimal places as needed.) Construct a 95% confidence interval for the population mean. The 95% confidence interval is ( 139 , 151). (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 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 B. 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%. 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 90%. R... nsta... PDF W 2021 lents.pdf DRAFT Deputy Fire... Click to select your answer and then click Check Answer. All parts showing Clear All Final Check Riley LAMA e to search Do Homework - Un My Qucrtions Lhart
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. If convenient, use technology to construct the confidence intervals. A random sample of 35 home theater systems has a mean price of $145.00. Assume the population standard deviation is $18.10. Construct a 90% confidence interval for the population mean. The 90% confidence interval is (139.97, 150.03). (Round to two decimal places as needed.) Construct a 95% confidence interval for the population mean. The 95% confidence interval is ( 139 , 151). (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 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 B. 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%. 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 90%. R... nsta... PDF W 2021 lents.pdf DRAFT Deputy Fire... Click to select your answer and then click Check Answer. All parts showing Clear All Final Check Riley LAMA e to search Do Homework - Un My Qucrtions Lhart
Expert Solution
Step 1

As the population standard deviation is known, we will use z distribution.

The critical value for 90% confidence level, i.e., at is . (from the standard normal table)

The corresponding confidence interval is computed as shown below:

Statistics homework question answer, step 1, image 1

Hence, the 90% confidence interval for the population mean is (139.97, 150.03).

 

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