Question: Based on the results of the pilot study, and recognizing that the Foundation does not have ‘deep pockets,’ the researcher proposed a study involving 40 students using Instrument II. The Foundation has expressed an interest in more students receiving the new method than the old. Accommodating this means the data will no longer be matched-pairs. The Foundation recommends that 15 of the 40 students be randomly assigned to the “traditional” method and the rest to the “innovative” method. The scores are in the following table. As the researcher expects to be defending these results, an α of 0.05 is selected.

Is the new method better? Conduct the appropriate Wilcoxon Test.