3 5. In (E) repeated samples of the same size, approximately 99 percent of the intervals constructed from the samples will capture the difference in population means. Two 99 percent confidence intervals will be constructed to estimate the difference in means of two populations, R and W. One confidence interval, Ig, will be constructed using samples of size 9 from each of R and W, and the other confidence interval, I81, will be constructed using samples of size 81 from each of R and W. When all other things remain the same, which of the following describes the relationship between the two confidence intervals? (A) The width of I81 will be (B) The width of I81 will be the width of Ig. the width of Ig. (C) The width of I81 will be equal to the width of Ig. (D) The width of I81 will be 3 times the width of Ig. (E) The width of I81 will be 9 times the width of Ig. Standard Error (SEM) of the Mean = 5 √n The n of 189 is 81, w/c is a times larger than the sample size of Ig, wie is 9. there fore fere Se for Page 2 of 4 AP Statistics ↑ SD narrowver (J will be √ä = 3 tim 189 will

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

why the correct answer is letter B?

3
5.
In
(E)
repeated samples of the same size, approximately 99 percent of the intervals constructed from the
samples will capture the difference in population means.
Two 99 percent confidence intervals will be constructed to estimate the difference in means of two populations, R
and W. One confidence interval, Ig, will be constructed using samples of size 9 from each of R and W, and the other
confidence interval, I81, will be constructed using samples of size 81 from each of R and W.
When all other things remain the same, which of the following describes the relationship between the two
confidence intervals?
(A) The width of I81 will be
(B) The width of I81 will be
the width of Ig.
the width of Ig.
(C) The width of I81 will be equal to the width of Ig.
(D) The width of I81 will be 3 times the width of Ig.
(E) The width of I81 will be 9 times the width of Ig.
Standard Error (SEM)
of the Mean
=
5
√n
The n of 189 is 81, w/c is a times larger than the
sample size of Ig, wie is 9. there fore fere Se for
Page 2 of 4
AP Statistics
↑ SD narrowver (J
will be Ê = 3 tim
189 will
Transcribed Image Text:3 5. In (E) repeated samples of the same size, approximately 99 percent of the intervals constructed from the samples will capture the difference in population means. Two 99 percent confidence intervals will be constructed to estimate the difference in means of two populations, R and W. One confidence interval, Ig, will be constructed using samples of size 9 from each of R and W, and the other confidence interval, I81, will be constructed using samples of size 81 from each of R and W. When all other things remain the same, which of the following describes the relationship between the two confidence intervals? (A) The width of I81 will be (B) The width of I81 will be the width of Ig. the width of Ig. (C) The width of I81 will be equal to the width of Ig. (D) The width of I81 will be 3 times the width of Ig. (E) The width of I81 will be 9 times the width of Ig. Standard Error (SEM) of the Mean = 5 √n The n of 189 is 81, w/c is a times larger than the sample size of Ig, wie is 9. there fore fere Se for Page 2 of 4 AP Statistics ↑ SD narrowver (J will be √ä = 3 tim 189 will
AI-Generated Solution
AI-generated content may present inaccurate or offensive content that does not represent bartleby’s views.
steps

Unlock instant AI solutions

Tap the button
to generate a solution

Similar questions
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