Question: From a mathematics class of 12 equally capable students using programmed materials, 5 students are selected at random and given additional instruction by the teacher.

From a mathematics class of 12 equally capable students using programmed materials, 5 students are selected at random and given additional instruction by the teacher. The results on the final examination are as follows:

Grade Additional Instruction 87 69 78 91 80 No Additional Instruction 75 88 64 82 93 79 67 Use the rank-sum test with α = 0.05 to determine if the additional instruction affects the average grade.

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