Suppose 16 people in various industries are contacted in 2008 and asked to rate business conditions on several factors. The ratings of each person are tallied into a "business optimism" score. The same people are contacted in 2009 and asked to do the same thing. The higher the score, the more optimistic the person is.

Shown here are the 2008 and 2009 scores for the 16 people. Use a Wilcoxon matched-pairs signed rank test to determine whether people were less optimistic in 2009 than in 2008. Assume the underlying distributions are symmetrical and that alpha is.05.

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dustryApil 2008 April 2009 63.1 67.1 65.5 68.0 66.6 65.7 69.2 67.0 65.2 60.7 63.4 59.2 62.9 69.4 67.3 66.8 57.4 66.4 61.8 65.3 63.5 66.4 64.9 65.2 65.1 62.2 60.3 57.4 58.2 65.3 67.2 64.1 4 10 12 13 14 15 16