A student was asked to find a 90% confidence interval for widget width using data from a random sample of size \( n = 16 \). Which of the following is a correct interpretation of the interval \( 10.5 < \mu < 34.3 \)?Check all that are correct.- [ ] There is a 90% chance that the mean of a sample of 16 widgets will be between 10.5 and 34.3.- [ ] With 90% confidence, the mean width of all widgets is between 10.5 and 34.3.- [ ] The mean width of all widgets is between 10.5 and 34.3, 90% of the time. We know this is true because the mean of our sample is between 10.5 and 34.3.- [x] There is a 90% chance that the mean of the population is between 10.5 and 34.3.- [ ] With 90% confidence, the mean width of a randomly selected widget will be between 10.5 and 34.3.

The sample size is n=16The 90% confidence interval for widget width is

Answered: A student was asked to find a 90 %…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

See similar textbooks

Similar questions

A clinical trial was conducted to test the effectiveness of a drug for treating insomnia in older subjects. Before treatment, 18 subjects had a mean wake time of 100.0 min. After treatment, the 18 subjects had a mean wake time of 75.7 min and a standard deviation of 20.4 min. Assume that the 18 sample values appear to be from a normally distributed population and construct a 95% confidence interval estimate of the mean wake time for a population with drug treatments. What does the result suggest about the mean wake time of 100.0 min before the treatment? Does the drug appear to be effective? Construct the 95% confidence interval estimate of the mean wake time for a population with the treatment. min<μ
A student was asked to find a 99% confidence interval for a widget width using data from a random sample of size n = 16. Which of the following is a correct interpretation of the interval 14.9 < μ < 22.7? Check all that are correct. The mean width of all widgets is between 14.9 and 22.7, 99% of the time. We know this is true because the mean of our sample is between 14.9 and 22.7. With 99% confidence, the mean width of a randomly selected widget will be between 14.9 and 22.7. With 99% confidence, the mean width of all widgets is between 14.9 and 22.7. There is a 99% chance that the mean of the population is between 14.9 and 22.7. There is a 99% chance that the mean of a sample of 16 widgets will be between 14.9 and 22.7.
A student was asked to find a 99% confidence interval for widget width using data from a random sample of size n = 26. Which of the following is a correct interpretation of the interval 11.3 < μ < 20.4? Check all that are correct. The mean width of all widgets is between 11.3 and 20.4, 99% of the time. We know this is true because the mean of our sample is between 11.3 and 20.4. With 99% confidence, the mean width of all widgets is between 11.3 and 20.4. With 99% confidence, the mean width of a randomly selected widget will be between 11.3 and 20.4. There is a 99% chance that the mean of the population is between 11.3 and 20.4. There is a 99% chance that the mean of a sample of 26 widgets will be between 11.3 and 20.4.
What is the upper bound of the two-sided confidence interval?
Use the following scenario to answer the next 6 questions. An engineer has designed a valve that will regulate water pressure on an automobile engine. The valve was tested on 30 engines and the mean pressure was 4.8 psi with a standard deviation of 1 psi. If the valve was designed to produce an overall mean pressure of 5.0 psi, is there sufficient evidence at the 10% level of significance that the valve performs below specifications? In this scenario, the decision to use a two-tailed versus a one-tailed test affected our ability to reject the null (and thus our conclusion). Group of answer choices True False
A student was asked to find a 98% confidence interval for widget width using data from a random sample of size n = 22. Which of the following is a correct interpretation of the interval 13.7 < μ < 27.5? Check all that are correct. The mean width of all widgets is between 13.7 and 27.5, 98% of the time. We know this is true because the mean of our sample is between 13.7 and 27.5. There is a 98% chance that the mean of a sample of 22 widgets will be between 13.7 and 27.5. There is a 98% chance that the mean of the population is between 13.7 and 27.5. With 98% confidence, the mean width of a randomly selected widget will be between 13.7 and 27.5. With 98% confidence, the mean width of all widgets is between 13.7 and 27.5.
A student was asked to find a 99% confidence interval for widget width using data from a random sample of size n = 24. Which of the following is a correct interpretation of the interval 12 to 33.6? The mean width of all widgets is between 12 and 33.6, 99% of the time. We know this is true because the mean of our sample is between 12 and 33.6. We are 99% confident that the mean width of a randomly selected widget will be between 12 and 33.6. There is a 99% chance that the mean of a sample of 24 widgets will be between 12 and 33.6. We are 99% confident that the mean width of all widgets is between 12 and 33.6. Which is true?
A student was asked to find a 90% confidence interval for widget width using data from a random sample of size n = 20. Which of the following is a correct interpretation of the interval 12.6 < µ< 27.8? Check all that are correct. The mean width of all widgets is between 12.6 and 27.8, 90% of the time. We know this is true because the mean of our sample is between 12.6 and 27.8. There is a 90% chance that the mean of a sample of 20 widgets will be between 12.6 and 27.8. With 90% confidence, the mean width of all widgets is between 12.6 and 27.8. There is a 90% chance that the mean of the population is between 12.6 and 27.8. With 90% confidence, the mean width of a randomly selected widget will be between 12.6 and 27.8.
A student was asked to find a 90% confidence interval for widget width using data from a random sample of size n = 20. Which of the following is a correct interpretation of the interval (11.5,21.6)? There is a 90% chance that the mean of a sample of 20 widgets will be between 11.5 and 21.6. The mean width of all widgets is between 11.5 and 21.6, 90% of the time. We know this is true because the mean of our sample is between 11.5 and 21.6. With 90% confidence, the mean width of a randomly selected widget will be between 11.5 and 21.6. We are 90% confident the mean width of all widgets is between 11.5 and 21.6. There is a 90% chance that the mean of the population is between 11.5 and 21.6.
A student was asked to find a 98% confidence interval for widget width using data from a random sample of size n = 26. Which of the following is a correct interpretation of the interval 13.5 < μ < 29.3? Check all that are correct. The mean width of all widgets is between 13.5 and 29.3, 98% of the time. We know this is true because the mean of our sample is between 13.5 and 29.3. With 98% confidence, the mean width of a randomly selected widget will be between 13.5 and 29.3. There is a 98% chance that the mean of a sample of 26 widgets will be between 13.5 and 29.3. There is a 98% chance that the mean of the population is between 13.5 and 29.3. With 98% confidence, the mean width of all widgets is between 13.5 and 29.3.
A clinical trial was conducted to test the effectiveness of a drug for treating insomnia in older subjects. Before treatment, 18 subjects had a mean wake time of 101.0 min. After treatment, the 18 subjects had a mean wake time of 97.7 min and a standard deviation of 21.7min. Assume that the 18 sample values appear to be from a normally distributed population and construct a 90% confidence interval estimate of the mean wake time for a population with drug treatments. What does the result suggest about the mean wake time of 101.0 min before the treatment? Does the drug appear to be effective? Construct the 90% confidence interval estimate of the mean wake time for a population with the treatment. ____min<μ<___min
Assume that a sample is used to estimate a poplulation mean. Find the 98% confidence interval for a sample of size 863 with a mean of 65.7 and a standard deviation of 19.2. Enter your answer as a tri-linear inequaliy accurate to one decimal place (because the sample statistics are reported accurate to one decimal place).

Recommended textbooks for you

MATLAB: An Introduction with Applications

Statistics

ISBN:

9781119256830

Author:

Amos Gilat

Publisher:

John Wiley & Sons Inc

Probability and Statistics for Engineering and th…

Statistics

ISBN:

9781305251809

Author:

Jay L. Devore

Publisher:

Cengage Learning

Statistics for The Behavioral Sciences (MindTap C…

Statistics

ISBN:

9781305504912

Author:

Frederick J Gravetter, Larry B. Wallnau

Publisher:

Cengage Learning

MATLAB: An Introduction with Applications

Statistics

ISBN:

9781119256830

Author:

Amos Gilat

Publisher:

John Wiley & Sons Inc

Probability and Statistics for Engineering and th…

Statistics

ISBN:

9781305251809

Author:

Jay L. Devore

Publisher:

Cengage Learning

Statistics for The Behavioral Sciences (MindTap C…

Statistics

ISBN:

9781305504912

Author:

Frederick J Gravetter, Larry B. Wallnau

Publisher:

Cengage Learning

Elementary Statistics: Picturing the World (7th E…

Statistics

ISBN:

9780134683416

Author:

Ron Larson, Betsy Farber

Publisher:

PEARSON

The Basic Practice of Statistics

Statistics

ISBN:

9781319042578

Author:

David S. Moore, William I. Notz, Michael A. Fligner

Publisher:

W. H. Freeman

Introduction to the Practice of Statistics

Statistics

ISBN:

9781319013387

Author:

David S. Moore, George P. McCabe, Bruce A. Craig

Publisher:

W. H. Freeman

SEE MORE TEXTBOOKS