A sample of size n = 56 is drawn from a normal population whose standard deviation is o=5.5. The sample mean isx = 37.71.-Part 1 of 2(a) Construct a 99% confidence interval for u. Round the answer to at least two decimal places.A 99% confidence interval for the mean isPart 2 of 2<μ<X(b) If the population were not approximately normal, would the confidence interval constructed in part (a) be valid?Explain.2022 McGraw HillThe confidence interval constructed in part (a) (Choose one) ▼ be valid since thesample size (Choose one) ▼ large.XSubmit Assignmentrved. Terms of Use | Privacy Center | Accessibility3

a) Suppose that µ is the population mean.

Answered: A sample of size n = 56 is drawn from a…

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 simple random sample of size n = 15 is drawn from a population that is normally distributed. The sample mean is found to be x= 68 and the sample standard deviation is found to be s = 11. Construct a 95% confidence interval about the population mean. The lower bound is The upper bound is (Round to two decimal places as needed.)
A sample of size n = 47 has sample mean * = 57.6 and sample standard deviation s=9.5. Answer the two questions.
d, e and f
A sample of size n= 60 is drawn from a population whose standard deviation is o = 33. Part 1 of 2 (a) Find the margin of error for a 90% confidence interval for µ. Round the answer to at least three decimal places. The margin of error for a 90% confidence interval for u is Part 2 of 2 X (b) If the sample size were n=82, would the margin of error be larger or smaller? because the sample size is (Choose one) (Choose one) x Ś Ś
In order to construct a confidence interval for the population variance, a random sample of n observations is drawn from a normal population. Use this information to find x²a/2, df and x²1-a/2, df under the following scenarios. (Round your answers to 3 decimal places. You may find it useful to reference the appropriate table: chi-square table or Ftable) X²al2,df a. A 95% confidence level with n = 9. b. A 95% confidence level with n = 40. c. A 99% confidence level with n = 9. d. A 99% confidence level with n = 40. X²1-a/2,df
Suppose we are making predictions of the dependent variable y for specific values of the independent variable x using a simple linear regression model holding the confidence level constant. Let Width (C.I) = the width of the confidence interval for the average value y for a given value of x, and Width (P.I) = the width of the prediction interval for a single value y for a given value of x. Which of the following statements is true? Width (C.I) = 0.5 Width (P.I) Width (C.I) = Width (P.I) Width (C.I) > Width (P.I) Width (C.I) < Width (P.I)
A random sample of 28 items is drawn from a population whose standard deviation is unknown. The sample mean is = 790 and the sample standard deviation is s= 15. Use Appendix D to find the values of Student's t (a) Construct an interval estimate of u with 99% confidence. (Round your answers to 3 decimal places.) The 99% confidence interval is from to (b) Construct an interval estimate of u with 99% confidence, assuming that s= 30. (Round your answers to 3 decimal places.) The 99% confidence interval is from to (c) Construct an interval estimate of p with 99% confidence, assuming that s= 60. (Round your answers to 3 decimal places.) The 99% confidence interval is from to (d) Describe how the confidence interval changes as s increases. O The interval stays the same as s increases. O The interval gets wider as s increases. O The interval gets narrower as s increases.
A simple random sample of size n is drawn from a population that is normally distributed. The sample mean, x, is found to be 104, and the sample standard deviation, s, is found to be 8. (a) Construct a 95% confidence interval about u if the sample size, n, is 22. (b) Construct a 95% confidence interval about u if the sample size, n, is 16. (c) Construct a 90% confidence interval about u if the sample size, n, is 22. (d) Should the confidence intervals in parts (a)-(c) have been computed if the population had not been normally distributed? (a) Construct a 95% confidence interval about u if the sample size, n, is 22. Lower bound: 100.5; Upper bound: 107.5 (Round to one decimal place as needed.) (b) Construct a 95% confidence interval about u if the sample size, n, is 16. Lower bound: Upper bound: (Round to one decimal place as needed.)
A random sample of 100 students is taken from a larger population of students in a multi-lecture course and the sample mean (average) of their final grades is found to be 62.25. Suppose that the population standard deviation is known to be 3. Which of the following is correct? A 90% Z confidence interval for the true population mean that is calculated from this sample data of 100 students will be wider than a 95% Z confidence interval for the true population mean that is calculated from this sample data of 100 students. b. A 95% Z confidence interval for the true population mean that is calculated from this sample data of 100 students will be narrower than a 90% Z confidence interval for the true population mean that is calculated from this sample data of 100 students. c. A 90% Z confidence interval for the true population mean that is calculated from this sample data of 100 students would be narrower than a 90% Z confidence interval for the true population mean that is…
A sample of size n = 51 is drawn from a population whose standard deviation is o = 47. Part 1 of 2 (a) Find the margin of error for a 90% confidence interval for μ. Round the answer to at least three decimal plac The margin of error for a 90% confidence interval for u is Part 2 of 2 (b) If the sample size were n = 72, would the margin of error be larger or smaller? (Choose one) because the sample size is (Choose one) X 2022 McGraw Hill X 3 Ś Submit Assignment Terms of Use | Privacy Center | Accessibility

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

A sample of size n = 56 is drawn from a normal population whose standard deviation is a=5.5. The sample mean x = 37.71. Part 1 of 2 (a) Construct a 99% confidence interval for u. Round the answer to at least two decimal places. A 99% confidence interval for the mean is Part 2 of 2