The following are the number of classes attended by 2 students on 20 days: 3 and 5, 1 and 2, 3 and 4, 2 and 5, 5 and 3, 4 and 2, 1 and 3, 1 and 4, 1 and 2, 2 and 4, 3 and 2, 2 and 5, 5 and 5,1 and 3,2 and 4, 2 and 2, 2 and 3,3 and 5, 3 and 3,2 and 1 . Use the sign test at the 0.01 level of significance to test the null hypothesis that on average the 2 students attend equally many classes per day against the alternative hypothesis that the second student tends to attend more classes than the first.