The sampling distribution for the difference in means can best be described in Figure 17.1.

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 µ_{1} and standard deviation σ_{1}. 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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