What is a real-world example of using the "standard error of the difference between means"? What specifically is this telling us in a real-world context? I understand the math, but not the application.

Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter11: Data Analysis And Probability
Section11.3: Using Data Displays
Problem 2C
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What is a real-world example of using the "standard error of the difference between means"? What specifically is this telling us in a real-world context?

I understand the math, but not the application. 

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