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 amoun therefore produce a slightly more conservative answer Suppose that 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 Wilderness District 2 3 15 124 137 64 78 January April 113 88 98 61 USE SALT Does this information indicate that the peak wind gusts are higher in January than in April Use a 0 01 Solve the problem using the critical region method of testing Let d January April Round your answers to three decimal places test statistic 2 617 critical value 2 943 X 1 137 114 x Interpret your conclusion in the context of the application O Reject the null hypothesis there is sufficient evidence to claim average peak wind gusts are higher in January O Fail to reject the null hypothesis there is sufficient evidence to claim average peak wind gusts are higher in January Fail to reject the null hypothesis there is insufficient evidence to claim average peak wind gusts are higher in January O Reject the null hypothesis there is insufficient evidence to claim average peak wind gusts are higher in January Compare your conclusion with the conclusion obtained by using the P value method Are they the same We reject the null hypothesis using the P value method but fail to reject using the critical region method The conclusions obtained by using both methods are the same O We reject the null hypothesis using the critical region method but fail to reject using the P value method