A simple random sample of size n is drawn from a population that is normally distributed. The sample mean, x, is found to be 17.7, and the sample standard deviation, s, is found to be 5.8. (a) Construct a 95% confidence interval about u if the sample size, n, is 34. (b) Construct a 95% confidence interval about µ if the sample size, n, is 55. How does increasing the sample size affect the margin of error, E? (c) Construct a 98% confidence interval about u if the sample size, n, is 34. How does increasing the level of confidence affect the size of the margin of error, E? (d) If the sample size is 21, what conditions must be satisfied to compute the confidence interval? (a) Construct a 95% confidence interval about u if the sample size, n, is 34. Lower bound:: Upper bound: (Round to two decimal places as needed.) (b) Construct a 95% confidence interval about u if the sample size, n, is 55. Lower bound:: Upper bound: (Round to two decimal places as needed.) How does increasing the sample size affect the margin of error, E? OA. The margin of error decreases. OB. The margin of error does not change. OC. The margin of error increases. HI (c) Construct a 98% confidence interval about u if the sample size, n, is 34. Lower bound:: Upper bound: (Round to two decimal places as needed.) Compare the results to those obtained in part (a). How does increasing the level of confidence affect the size of the margin of error, E? OA. The margin of error does not change. OB. The margin of error increases. OC. The margin of error decreases. (d) If the sample size is 21, what conditions must be satisfied to compute the confidence interval? OA. The sample data must come from a population that is normally distributed with no outliers. OB. Since the sample size is suitably large, the population need not be normally distributed, but it still should not contain any outliers. OC. The sample must come from a population that is normally distributed and the sample size must be large.
A simple random sample of size n is drawn from a population that is normally distributed. The sample mean, x, is found to be 17.7, and the sample standard deviation, s, is found to be 5.8. (a) Construct a 95% confidence interval about u if the sample size, n, is 34. (b) Construct a 95% confidence interval about µ if the sample size, n, is 55. How does increasing the sample size affect the margin of error, E? (c) Construct a 98% confidence interval about u if the sample size, n, is 34. How does increasing the level of confidence affect the size of the margin of error, E? (d) If the sample size is 21, what conditions must be satisfied to compute the confidence interval? (a) Construct a 95% confidence interval about u if the sample size, n, is 34. Lower bound:: Upper bound: (Round to two decimal places as needed.) (b) Construct a 95% confidence interval about u if the sample size, n, is 55. Lower bound:: Upper bound: (Round to two decimal places as needed.) How does increasing the sample size affect the margin of error, E? OA. The margin of error decreases. OB. The margin of error does not change. OC. The margin of error increases. HI (c) Construct a 98% confidence interval about u if the sample size, n, is 34. Lower bound:: Upper bound: (Round to two decimal places as needed.) Compare the results to those obtained in part (a). How does increasing the level of confidence affect the size of the margin of error, E? OA. The margin of error does not change. OB. The margin of error increases. OC. The margin of error decreases. (d) If the sample size is 21, what conditions must be satisfied to compute the confidence interval? OA. The sample data must come from a population that is normally distributed with no outliers. OB. Since the sample size is suitably large, the population need not be normally distributed, but it still should not contain any outliers. OC. The sample must come from a population that is normally distributed and the sample size must be large.
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
Related questions
Question
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
This is a popular solution!
Step 1: Given information
VIEWStep 2: Calculate level of significance, degree of freedom, t-value
VIEWStep 3: Calculate margin of error and confidence interval
VIEWStep 4: Calculate degree of freedom , t-value
VIEWStep 5: Calculate margin of error and confidence interval
VIEWStep 6: Calculate level of significance, degree of freedom and t-value
VIEWStep 7: Calculate margin of error and confidence interval
VIEWStep 8: Determine condition when sample size is 21
VIEWStep 9: Explanation for the incorrect options
VIEWSolution
VIEWTrending now
This is a popular solution!
Step by step
Solved in 10 steps with 26 images
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