3. A researcher is interested in comparing the Christian maturity level of students who volunteer for community service versus those who do not. The researcher assumes that those who perform community service will have higher Christian maturity scores. The maturity scores tend to be skewed (not normally distributed). Higher scores indicate higher Christian maturity.
No Community Service Community Service
32 47
40 48
54 59
13 72
20 80
26 55

a. What statistical test should be used to analyze these data?

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  1. When the assumption of a normal distribution does not hold, a non-parametric alternative may be more useful. When data distributions are skewed, the Wilcoxon Rank Sum test (also known as the Mann-Whitney U test) can be used.

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