Many young men in North America and Europe (but not in Asia) tend to think they need more muscle to be attractive. One study presented 196 young American men with 100 images of men with various levels of muscle. Researchers measure level of muscle in kilograms per square meter (kg/m2) of fat-free body mass. Typical young men have about 20 kg/m2. Each subject chose two images, one that represented his own level of body muscle and one that he thought represented “what women prefer.” The mean gap between self image and “what women prefer” was 2.35 kg/m2. Suppose that the muscle gap in the population of all young men has a normal distribution with standard deviation 2.5 kg/m2. a) State the value that will be used to estimate the unknown population mean.     b)What is the critical z value for a 95 percent confidence interval for the mean amount of muscle young men think they should add to be attractive to women. (Enter answer to 2 decimal places)     c)Calculate the margin of error for a 95 percent confidence interval for the mean amount of muscle young men think they should add to be attractive to women. (Enter answer to 2 decimal places)         d)Using your answer from part c, what is the 95 percent confidence interval for the mean amount of muscle young men think they should add to be attractive to women. (Enter answer to 1 decimal place)

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
Topic Video
Question

Many young men in North America and Europe (but not in Asia) tend to think they need more muscle to be attractive. One study presented 196 young American men with 100 images of men with various levels of muscle. Researchers measure level of muscle in kilograms per square meter (kg/m2) of fat-free body mass. Typical young men have about 20 kg/m2. Each subject chose two images, one that represented his own level of body muscle and one that he thought represented “what women prefer.” The mean gap between self image and “what women prefer” was 2.35 kg/m2.

Suppose that the muscle gap in the population of all young men has a normal distribution with standard deviation 2.5 kg/m2.

a) State the value that will be used to estimate the unknown population mean.

 

 

b)What is the critical z value for a 95 percent confidence interval for the mean amount of muscle young men think they should add to be attractive to women. (Enter answer to 2 decimal places)

 

 

c)Calculate the margin of error for a 95 percent confidence interval for the mean amount of muscle young men think they should add to be attractive to women. (Enter answer to 2 decimal places)

 

 

 

 

d)Using your answer from part c, what is the 95 percent confidence interval for the mean amount of muscle young men think they should add to be attractive to women. (Enter answer to 1 decimal place)

Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 4 steps

Blurred answer
Knowledge Booster
Discrete Probability Distributions
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, statistics and related others by exploring similar questions and additional content below.
Similar questions
  • SEE MORE 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