A high school teacher started to offer a prep course for the SAT math test and would like to analyze some data to see if the prep course made a significant difference in the test score or not. He collected the SAT math percentile scores from 10 students who have completed his prep course and 10 students who have similar school grades but have not taken the prep course. This is an exploratory analysis, so he is not predicting which group would have higher scores and the hypotheses should be non-directional for a two-tailed test with ? = .05.

For the questions below, the prep group is designated as sample 1 (drawn from population 1) and the control group is designated as sample 2 (drawn from population 2).

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