The figure below shows the distribution of the test Student's t statistic with 50 degrees of freedom (solid line) and with 5 degrees of freedom (dashed line). Which one of the following is FALSE about tests using these distributions? probability density 0.4 0.3 0.2 0.0 0.1 -2 0 t-statistic 2 Both curves differ from the standard normal distribution For a given extreme value, the 50-d.f. t distribution will reject the null hypothesis less often than the 5-d.f. t distribution. The area under the curve between -2 and 2 differs between the two curves The mean of the two distributions is identical despite the different degrees of freedom
The figure below shows the distribution of the test Student's t statistic with 50 degrees of freedom (solid line) and with 5 degrees of freedom (dashed line). Which one of the following is FALSE about tests using these distributions? probability density 0.4 0.3 0.2 0.0 0.1 -2 0 t-statistic 2 Both curves differ from the standard normal distribution For a given extreme value, the 50-d.f. t distribution will reject the null hypothesis less often than the 5-d.f. t distribution. The area under the curve between -2 and 2 differs between the two curves The mean of the two distributions is identical despite the different degrees of freedom
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:The figure below shows the distribution of the test Student's t statistic with 50
degrees of freedom (solid line) and with 5 degrees of freedom (dashed line). Which one
of the following is FALSE about tests using these distributions?
0.4
0.3
probability density
0.2
0.1
0.0
-2
0
t-statistic
2
4
Both
curves differ from the standard normal distribution
For a given extreme value, the 50-d.f. t distribution will reject the null hypothesis
less often than the 5-d.f. t distribution.
The area under the curve between -2 and 2 differs between the two curves
The mean of the two distributions is identical despite the different degrees of
freedom
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