### Constructing Confidence Intervals for the Population Mean#### Problem Statement: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.**Given:**A random sample of 45 home theater systems has a mean price of $114.00. Assume the population standard deviation is $15.10.#### Task:Construct a 90% confidence interval for the population mean.**Step-by-Step Solution:**1. The 90% confidence interval is ( , ).2. (Round to two decimal places as needed.)> Note: To construct the confidence interval, use the sample mean, population standard deviation, and the appropriate z-value for the desired confidence level.

Given that n=45 homes, X bar=$114 , sigma=$15.10 We have to find 90% and 95% Confidence interval.

Answered: You are given the sample mean and the…

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

See similar textbooks

Similar questions

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 45 home theater systems has a mean price of $137.00. Assume the population standard deviation is $18.50. The 90% confidence interval is ( 132.37, 141.63 (Round to two decimal places as needed.) Construct a 95% confidence interval for the population mean. The 95% confidence interval is ( 131.44 142.56) (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,…
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$134.00. Assume the population standard deviation is $18.70. 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)
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 45 home theater systems has a mean price of $113.00. Assume the population standard deviation is $19.80. Construct a 90% confidence interval for the population mean.
Determine whether the statement below makes sense or does not make sense. Explain clearly. Based on our sample, the 95% confidence interval for the mean amount of television watched by adults in a nation is 2.9 to 4.3 hours per day. Therefore, there is 95% chance that the mean for all adults in the nation will fall somewhere in this range and a 5% chance that it will not. C Choose the correct answer below. O A. The statement makes sense. There is 5% probability that the confidence interval limits do not contain the true value of the sample mean, so the probability it does not contain the true value of the population mean is also 5%. O B. The statement does not make sense. The population mean is a fixed constant that either falls within the confidence interval or it does not. There is no probability associated with this. O C. The statement does not make sense. The probability the population mean is greater than the upper limit is 5% and the probability it is less than the lower limit is…
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 39 business days, the mean closing price of a certain stock was $106.99.Assume the population standard deviation is $10.66.
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 48 business days, the mean closing price of a certain stock was $120.45. Assume the population standard deviation is $10.76.
Construct the 99% confidence interval for the difference when ,-476.88, x-318.32, , -42.11, -26.80, -19, and #₂ -22. Use the TI-84 Plus calculator and round the answers to two decimal places. A 99% confidence interval for the difference in the population means is
here
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 ( D (Round to two decimal places as needed.) A R.. -Insta... of W PDF DRAFT 2021 Deputy Fire... zidents.pdf Enter your answer in the edit fields and then click Check Answer. Check Answer 1 part remaining Clear All Riley LAMA DRAFT Deputy Fire... 0 Calendar - mregal... Answered: You are...
K A R Explain how finding a confidence interval for a population variance is different from finding a confidence interval for a population mean or proportion. Choose the correct answer below. OA. Unlike a confidence interval for a population variance, a confidence interval for a population mean or proportion does not have a margin or error. The left and right endpoints must be calculated separately. OB. Unlike a confidence interval for a population variance, a confidence interval for a population mean or proportion does not have a margin or error. The left and right endpoints must not be calculated separately OC. Unlike a confidence interval for a population mean or proportion, a confidence interval for a population variance does not have a margin or error. The left and right endpoints must not be calculated separately OD. Unlike a confidence interval for a population mean or proportion, a confidence interval for a population variance does not have a margin or error. The left and right…
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 60 home theater systems has a mean price of $125.00. Assume the population standard deviation is $19.30 Construct a 90% confidence interval for the population mean. The 90% confidence interval is___________________________. (Round to two decimal places as needed.)
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 55 home theater systems has a mean price of $117.00.Assume the population standard deviation is $17.40. Construct a 90% confidence interval for the population mean. The 90% confidence interval is (enter your response here,enter your response here). (Round to two decimal places as needed.) Construct a 95% confidence interval for the population mean. The 95% confidence interval is (enter your response here,enter your response here). (Round to two decimal places as needed.) Interpret the results. Choose the correct answer below. A. With 90% confidence, it can be said that the population mean price lies in the first…

SEE MORE QUESTIONS

Recommended textbooks for you

A First Course in Probability (10th Edition)

Probability

ISBN:

9780134753119

Author:

Sheldon Ross

Publisher:

PEARSON

A First Course in Probability

Probability

ISBN:

9780321794772

Author:

Sheldon Ross

Publisher:

PEARSON

A First Course in Probability (10th Edition)

Probability

ISBN:

9780134753119

Author:

Sheldon Ross

Publisher:

PEARSON

A First Course in Probability

Probability

ISBN:

9780321794772

Author:

Sheldon Ross

Publisher:

PEARSON

SEE MORE TEXTBOOKS