In constructing a confidence interval for a population mean, which of the following are true? Select four (4) true statements from the list below: Note: A point is deducted for each incorrect selection. For a confidence level of 99%, the right-tail area a/2 = 0.005. •For the same sample data, a 95% confidence interval will be wider than a 99% confidence interval. • A confidence interval that fails to capture the population mean will also fail to capture the sample mean. • A point estimate is a single sample statistic that is used to estimate a population parameter. •If the point estimate and lower limit for a confidence interval are 165 and 157 respectively, then the upper limit must be 173. • If a confidence interval does not contain the population parameter, then an error has been made in the calculation. The width of the confidence interval depends on the size of the population mean. • Increasing the sample size will not affect the width of the confidence interval. •Decreasing the confidence level will decrease the width of the confidence interval. •If a particular 85% confidence interval captures the population mean, then for the same sample data, the population mean will also be captured at the 82% confidence level. If a confidence interval for the population mean is constructed from a sample of size n = 30, that interval must contain the population mean. ⚫A 99% confidence interval must capture 99% of the sample values.
In constructing a confidence interval for a population mean, which of the following are true? Select four (4) true statements from the list below: Note: A point is deducted for each incorrect selection. For a confidence level of 99%, the right-tail area a/2 = 0.005. •For the same sample data, a 95% confidence interval will be wider than a 99% confidence interval. • A confidence interval that fails to capture the population mean will also fail to capture the sample mean. • A point estimate is a single sample statistic that is used to estimate a population parameter. •If the point estimate and lower limit for a confidence interval are 165 and 157 respectively, then the upper limit must be 173. • If a confidence interval does not contain the population parameter, then an error has been made in the calculation. The width of the confidence interval depends on the size of the population mean. • Increasing the sample size will not affect the width of the confidence interval. •Decreasing the confidence level will decrease the width of the confidence interval. •If a particular 85% confidence interval captures the population mean, then for the same sample data, the population mean will also be captured at the 82% confidence level. If a confidence interval for the population mean is constructed from a sample of size n = 30, that interval must contain the population mean. ⚫A 99% confidence interval must capture 99% of the sample values.
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
Transcribed Image Text:In constructing a confidence interval for a population mean, which of the following are
true?
Select four (4) true statements from the list below:
Note: A point is deducted for each incorrect selection.
For a confidence level of 99%, the right-tail area a/2 = 0.005.
•For the same sample data, a 95% confidence interval will be wider than a 99%
confidence interval.
• A confidence interval that fails to capture the population mean will also fail to
capture the sample mean.
• A point estimate is a single sample statistic that is used to estimate a population
parameter.
•If the point estimate and lower limit for a confidence interval are 165 and 157
respectively, then the upper limit must be 173.
• If a confidence interval does not contain the population parameter, then an error
has been made in the calculation.
The width of the confidence interval depends on the size of the population mean.
• Increasing the sample size will not affect the width of the confidence interval.
•Decreasing the confidence level will decrease the width of the confidence
interval.
•If a particular 85% confidence interval captures the population mean, then for the
same sample data, the population mean will also be captured at the 82%
confidence level.
If a confidence interval for the population mean is constructed from a sample of
size n = 30, that interval must contain the population mean.
⚫A 99% confidence interval must capture 99% of the sample values.
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
Step by step
Solved in 2 steps
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