Suppose 16 people in various industries are contacted in 2012 and asked to rate business conditions on several factors. The ratings of each person are tallied into a €œbusiness optimism€ score. The same people are contacted in 2013 and asked to do the same thing. The higher the score, the more optimistic the person is. Shown here are the 2012 and 2013 scores for the 16 people. Use a Wilcoxon matched-pairs signed rank test to determine whether people were less optimistic in 2013 than in 2012.Assume the underlying distributions are symmetrical and that alpha is.05.

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Industry April 2012 April 2013 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