In this problem, assume that the distribution of differences isapproximately normal. Note: For degrees of freedom d.f. not in theStudent's t table, use the closest d.f. that is smaller. In somesituations, this choice of d.f. may increase the P-value by a smallamount and therefore produce a slightly more "conservative" answer.Suppose that at five weather stations on Trail Ridge Road in RockyMountain National Park, the peak wind gusts (in miles per hour) forJanuary and April are recorded below. Wilderness District 1 2 3 4 5January 133 122 134 64 78 April 110 97 107 88 61 Does thisinformation indicate that the peak wind gusts are higher in Januarythan in April? Use ? = 0.01. Solve the problem using the criticalregion method of testing. (Let d = January ? April. Round youranswers to three decimal places.) test statistic = critical value=