The admissions director for a university found that (107.8, 116.2) is a 95% confidence interval for the mean IQ score of all freshmen. Is the following explanation correct, based on that information? If we take many samples, about 95% of them will contain the interval (108.7, 116.2) Correct. That is the meaning of 95% confidence. Incorrect. There is a 95% probability that the interval from 107.8 to 116.2 contains x. Incorrect. 95% of the students at this university have an IQ between 107.8 and 116.2. Incorrect. It doesn't make sense to say that a sample contains an interval. Incorrect. It should say that there is a 95% probability that the interval from 107.8 to 116.2 contains μ.

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
Question

The last one was wrong

The admissions director for a university found that (107.8, 116.2) is a 95% confidence interval for the mean IQ score of all
freshmen.
Is the following explanation correct, based on that information?
If we take many samples, about 95% of them will contain the interval (108.7, 116.2)
Correct. That is the meaning of 95% confidence.
Incorrect. There is a 95% probability that the interval from 107.8 to 116.2 contains x.
Incorrect. 95% of the students at this university have an IQ between 107.8 and 116.2.
Incorrect. It doesn't make sense to say that a sample contains an interval.
Incorrect. It should say that there is a 95% probability that the interval from 107.8 to 116.2 contains μ.
Transcribed Image Text:The admissions director for a university found that (107.8, 116.2) is a 95% confidence interval for the mean IQ score of all freshmen. Is the following explanation correct, based on that information? If we take many samples, about 95% of them will contain the interval (108.7, 116.2) Correct. That is the meaning of 95% confidence. Incorrect. There is a 95% probability that the interval from 107.8 to 116.2 contains x. Incorrect. 95% of the students at this university have an IQ between 107.8 and 116.2. Incorrect. It doesn't make sense to say that a sample contains an interval. Incorrect. It should say that there is a 95% probability that the interval from 107.8 to 116.2 contains μ.
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 4 steps with 2 images

Blurred answer
Recommended textbooks for you
MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
Probability and Statistics for Engineering and th…
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 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…
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
The Basic Practice of Statistics
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
Introduction to the Practice of Statistics
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman