All residents of Homer Glen, IL (N = 21,000). You want to estimate the mean age of each population using two rate samples each of size n = 75. If you construct a 95% confidence interval for each population mean, will the in of error for population A be larger, the same, or smaller than the margin of error for population B? Justify your oning. se the correct answer below. - The margin of error for Population A will be larger because its confidence level will be lower. The margin of error for Population A will be larger because its standard deviation will be larger. The margin of error for Population A will be smaller because its sample standard deviation will be smaller. The margin of error for Population A will be the same because its confidence level, sample size, and standard deviation will be the same. The margin of error for Population A will be smaller because its confidence level will be higher.
All residents of Homer Glen, IL (N = 21,000). You want to estimate the mean age of each population using two rate samples each of size n = 75. If you construct a 95% confidence interval for each population mean, will the in of error for population A be larger, the same, or smaller than the margin of error for population B? Justify your oning. se the correct answer below. - The margin of error for Population A will be larger because its confidence level will be lower. The margin of error for Population A will be larger because its standard deviation will be larger. The margin of error for Population A will be smaller because its sample standard deviation will be smaller. The margin of error for Population A will be the same because its confidence level, sample size, and standard deviation will be the same. The margin of error for Population A will be smaller because its confidence level will be higher.
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:Suppose you have two populations: Population A-All students at Illinois State University (N = 21,000) and Population
B-All residents of Homer Glen, IL (N=21,000). You want to estimate the mean age of each population using two
separate samples each of size n = 75. If you construct a 95% confidence interval for each population mean, will the
margin of error for population A be larger, the same, or smaller than the margin of error for population B? Justify your
reasoning.
Choose the correct answer below.
OA. The margin of error for Population A will be larger because its confidence level will be lower.
B. The margin of error for Population A will be larger because its standard deviation will be larger.
C. The margin of error for Population A will be smaller because its sample standard deviation will be smaller.
OD. The margin of error for Population A will be same because its confidence level, sample size, and standard
deviation will be the same.
E. The margin of error for Population A will be smaller because its confidence level will be higher.
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 3 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