In this problem, assume that the distribution of differences is approximately normal. Note: For degrees of freedom d.f. not in the Student's t table, use the closest d.f. that is smaller. In some situations, this choice of d.f. may increase the P-value by a small amount and therefore produce a slightly more "conservative" answer. At five weather stations on Trail Ridge Road in Rocky Mountain National Park, the peak wind gusts (in miles per hour) for January and April are recorded below. Weather Station 1 2 3 4 5 January 137 122 126 64 78 April 104 115 100 88 61Does this information indicate that the peak wind gusts are higher in January than in April? Use α = 0.01. (Let d = January − April.) (a) What is the level of significance? What is the value of the sample test statistic? (Round your answer to three decimal places.)

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