Hope College students were surveyed and were asked their class level and how many hours of extracurricular activities they participated in during the past month. For the purposes of this exercise, we will consider this sample to be representative of all students at the school. The summary statistics are shown in the following table and the data are shown in the dotplots.

a. Identify the explanatory variable and the response variable in this study.
b. State, in words or symbols, the null and alternative hypotheses.
c. Using the summary statistics given, compute the MAD statistic.
d. A null distribution for this study is shown below. Using the MAD statistic you calculated in part (c), will the p-value for this test be large or small? Explain.

e. Does it appear there is an association between class level and the amount of extracurricular activities students participate in?

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Sample Standard deviation Class size Mean 43.54 Senior 13 33.18 33.83 Junior 29 34.33 Sophomore 19 28.63 26.13 Freshman 25 26.24 24.47 Sr Jr So Fr 50 100 Extracurricular Sse)