Professor Bert Forman believes the students who complete his examinations in the shortest time receive the highest grades and those who take the longest to complete them receive the lowest grades. To verify his suspicion, he assigns a rank to the order of finish and then grades the examinations. The results are shown below:

Convert the test scores to a rank and find the coefficient of rank correlation between the order of completion and the rank of the test score. At the .05 significance level, can Professor Forman conclude there is a positive association between the order of finish and the testscores?

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Order of Score Order of Student Completion (50 possible Student Completion (50 possible) Gromney Bates MacDonald Sosa Smythe Arquette 39 30 37 35 36 Gankowski Bonfigilo Matsui 49 10 Cribb 47