The general manager of an engineering firm wants to know whether a draftsman€™s experience influences the quality of his work. She selects 24 draftsmen at random and records their years of work experience and their quality rating (as assessed by their supervisors, where 5 = Excellent, 4 = Very good, 3 = Average, 2 = Fair, and 1 = Poor). The data are listed here. Can we infer from these data that years of work experience is a factor in determining the quality of work performed? (Use α = .05.)

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Draftsman Experience Rating Draftsman Experience Rating 13 2 2 17 14 20 5 3 20 15 21 3 16 19 2. 2. 17 13 4 22 3 18 3 19 20 4 20 23 11 3 9. 21 18 10 10 22 14 4 23 3 11 12 21 12 24 2 24 21