Exam 13: Nonparametric Statistics

It was thought that hypnosis would lower a person's desire to smoke. A researcher decided to investigate this hypothesis using a paired-sample sign test in which the number of cigarettes/day smoked by subjects was recorded before and after hypnosis. Given that the critical value at $\alpha = 0.05$ in a one-tailed test is 1 , is there enough evidence support the hypothesis? Subject 1 2 3 4 5 6 7 8 9 10 Before Hypnosis (Cigarettes/day) 18 20 25 15 19 21 30 16 13 20 After Hypnosis (Cigarettes/day) 16 18 24 10 20 23 26 15 14 18

Six second grade students tried tossing a ball into a basket ten times each. Their teacher tl suggested a different way of tossing the ball, and the six students tried again. The numbe successful tosses, before and after the teacher's suggestion, are shown below. Student A B C D E F Before the suggestion (out of 10) 5 3 5 4 5 3 After the suggestion (out of 10) 2 3 2 6 2 3 Find the positive rank sum. [Recall, differences of zero are not ranked.]