For an independent-measures t statistic, what does the standard error tell you? O The SE tells you the average discrepancy between two observed sample means that would be expected to occur under the null hypothesis, only if the population means are different O The SE tells you the average discrepancy between two population means that would be expected to occur under the null hypothesis, only if these means are different O The SE tells you the average discrepancy between two population means that would be expected to occur under the null hypothesis, even if these means are not different O The SE tells you the average discrepancy between two observed sample means that would be expected to occur under the null hypothesis, even if the two population means are not different

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

15-

**Understanding the Standard Error in Independent-Measures t Statistics**

In the context of an independent-measures t statistic, the standard error (SE) provides important information regarding the comparison of two sample means. Specifically, the SE indicates the average discrepancy between two population means as predicted under the null hypothesis.

Here are the options to understand better what the SE indicates:

- **Option 1**: The SE tells you the average discrepancy between two observed sample means that would be expected to occur under the null hypothesis, only if the population means are different.

- **Option 2**: The SE tells you the average discrepancy between two population means that would be expected to occur under the null hypothesis, only if these means are different.

- **Option 3 (Correct)**: The SE tells you the average discrepancy between two population means that would be expected to occur under the null hypothesis, even if these means are not different.

- **Option 4**: The SE tells you the average discrepancy between two observed sample means that would be expected to occur under the null hypothesis, even if the two population means are not different.

Understanding the correct role of the SE as described in Option 3 is crucial for interpreting results in hypothesis testing.
Transcribed Image Text:**Understanding the Standard Error in Independent-Measures t Statistics** In the context of an independent-measures t statistic, the standard error (SE) provides important information regarding the comparison of two sample means. Specifically, the SE indicates the average discrepancy between two population means as predicted under the null hypothesis. Here are the options to understand better what the SE indicates: - **Option 1**: The SE tells you the average discrepancy between two observed sample means that would be expected to occur under the null hypothesis, only if the population means are different. - **Option 2**: The SE tells you the average discrepancy between two population means that would be expected to occur under the null hypothesis, only if these means are different. - **Option 3 (Correct)**: The SE tells you the average discrepancy between two population means that would be expected to occur under the null hypothesis, even if these means are not different. - **Option 4**: The SE tells you the average discrepancy between two observed sample means that would be expected to occur under the null hypothesis, even if the two population means are not different. Understanding the correct role of the SE as described in Option 3 is crucial for interpreting results in hypothesis testing.
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 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.
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