In Experiment 1 (see the following table), Ihno is comparing scores on a practice final exam between the students who performed most poorly on the midterm (Group 1) and those who got the highest midterm scores (Group 2). Experiment 2 also compares scores on the practice final, but in this case, Group 1 consists of the students who received the highest scores on the first quiz and Group 2 contains the students who received the lowest scores.

(a) Perform the rank-sum test for each experiment. Can you reject the null hypothesis in each case?

(b) Calculate the appropriate measure for the strength of relationship between the two variables, for each experiment. How strong does the relationship appear to be in each case?

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Experiment 1 Group 1 Group 2 Experiment 2 Group 1 Group 2 80 43 96 43 53 45 78 54 57 62 41 59 41 83 60 70 62 46 53 45 54 54 87 83 63 56 63 57 46 70 46 80 75 59 80 50 50 56 78 87 54 89 75 57 57 96 46 62 57 57 80 62 60 89