In one study, young children under stress were shown to actually report fewer symptoms of anxiety and depression than one would expect.  However, their scores on a Lie scale (a measure of the tendency to give socially desirable answers) were higher than expected.  The population mean on the Lie scale is known to be 3.87.  For a sample of 36 children under stress, researchers found a sample mean of 4.39 with a standard deviation of 2.61.  From the data, can you conclude that children under stress tend to score higher on the Lie scale than the general population?  Conduct a one-sample t-test and report the following: Find the value of the t-statistic using RStudio. Based on the t-value calculated in part (a), what proportion of samples of size 36 from the general population would have means this high or higher?  What does your answer to part (b) tell you? Should we reject the null hypothesis? Is there evidence that children under stress score higher on the Lie school than the general population?

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
100%

In one study, young children under stress were shown to actually report fewer symptoms of anxiety and depression than one would expect.  However, their scores on a Lie scale (a measure of the tendency to give socially desirable answers) were higher than expected.  The population mean on the Lie scale is known to be 3.87.  For a sample of 36 children under stress, researchers found a sample mean of 4.39 with a standard deviation of 2.61.  From the data, can you conclude that children under stress tend to score higher on the Lie scale than the general population?  Conduct a one-sample t-test and report the following:

Find the value of the t-statistic using RStudio.

Based on the t-value calculated in part (a), what proportion of samples of size 36 from the general population would have means this high or higher? 

What does your answer to part (b) tell you? Should we reject the null hypothesis? Is there evidence that children under stress score higher on the Lie school than the general population?

 

Expert Solution
steps

Step by step

Solved in 3 steps with 4 images

Blurred answer
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