Prior to taking an aerobics class, each of 12 health-club members is asked to rate the instructor on a scale in which 3 = “excellent,” 2 = “good,” and 1 = “poor.” Following the class, each student is again asked to rate the instructor. Given the following before –and after ratings, use the 0.05 level in determining whether there has been a significant improvement in the ratings received by the instructor.
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