A statistics instructor is curious about whether a relationship exists between the scores of students who purchased the student workbook and those of students who did not. Because he did not require students to buy the workbook, some bought it and others didn’t. The grades are recorded here and are believed not to follow a normal distribution.

Do a test to see whether buying the workbook improved the grades. Use 5 percent. Assume that the data do not follow a normal distribution.

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Bought workbook 75 74 80 81 82 77 76 72 70 67 83 84 85 86 Did not buy workbook 73 65 64 63 62 78 79 71 69 68 87