The following is based on information taken from Winter Wind Studies in Rocky Mountain National Park, by D. E. Glidden (Rocky Mountain Nature Association). 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 123 122 132 64 78
April 110 113 111 88 61

Does this information indicate that peak wind gusts are higher in January than in April? Use a 0.03 significance level. Please use the four step process and round your answers to the nearest fourth decimal place.