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A researcher is interested in knowing whether students not in public schools score differently on a science test outcome than students who are in public schools. Twenty (20) students not in public schools and 12 students who are in public schools were sampled. Means for the groups were calculated and a hypothesis test (alpha = .05) was conducted. The test statistic was 2.25 / 0.9 = 2.5, where 2.25 is the estimate from the mean of the not in public schools group minus the mean of the in public schools group, and 0.9 was the standard error.
Answer the following:
1) Which type of test was done (and would be most appropriate for this situation)?
2) What would be the hypotheses in statistical notation and in sentence form?
3) What would be the critical value?
4) What would be the conclusion of the test with regard to the hypotheses and the problem?
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