To be as fair as possible, most county fairs employ more than one judge for each type of event. For example, a pie-tasting competition may have two judges testing each entered pie and ranking it...

To be as fair as possible, most county fairs employ more than one judge for each type of event. For example, a pie-tasting competition may have two judges testing each entered pie and ranking it according to preference. The Spearman rank correlation coefficient may be used to determine the consistency between the judges (the interjudge reliability). In one such competition there were 10 pies to be judged. The results are given in Table 14.15.

(a) Calculate the Spearman correlation coefficient between the two judges’ rankings.

(b) Test the correlation for significance at the 0.05 level.