In this problem, assume that the distribution of differences isapproximately normal. Note: For degrees of freedomd.f. not in the Student's t table, usethe closest d.f. that is smaller. Insome situations, this choice of d.f. may increasethe P-value by a small amount and therefore produce aslightly 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.
| WildernessDistrict | 1 | 2 | 3 | 4 | 5 |
| January | 127 | 138 | 139 | 64 | 78 |
| April | 107 | 105 | 115 | 88 | 61 |
Does this information indicate that the peak wind gusts arehigher in January than in April? Use ? = 0.01. Solve theproblem using the critical region method of testing. (Letd = January ? April. Round your answers to three decimalplaces.)
| test statistic | = | |
| critical value | = | |
