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The Complete Idiot's Guide to Statistics, 2nd Edition by Robert Donnelly

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Sampling Distribution for the Difference in Means

The sampling distribution for the difference in means can best be described in Figure 17.1.
Figure 17.1
The sampling distribution for the difference in means.
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As an example, let’s consider testing for a difference in SAT scores for male and female students. We’ll assign female students as Population 1 and male students as Population 2. Graph 1 in Figure 17.1 represents the distribution of SAT scores for the female students with mean µ1 and standard deviation σ1. Graph 2 represents the same for the male population.
 
Graph 3 represents the sampling distribution for the mean for the female ...

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