A researcher investigated four different word lists for use in hearing assessment. She wanted to know whether the lists were equally difficult to understand in the presence of a noisy background. To find out, she tested 96 subjects with normal hearing randomly assigning 24 to each of the four word lists and measured the number of words perceived correctly in the presence of background noise. Here are the box plots of the four lists:

a) What are the null and alternative hypotheses?
b) What do you conclude?
c) Would it be appropriate to run a multiple comparisons test (for example, a Bonferroni test) to see which lists differ from each other in terms of mean percent correct? Explain.

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4 3 2 50 4 4535 20 544332211 (spi。M10 %) BuueeH ANOVA Table Sum of Mean Source DF Squares Square F-Ratio P-Value List Error 92 5738.1667 62.371 Total 95 6658.6250 3 920.4583 306.819 49192 0.0033