A researcher wishes to see if there is a difference in the manual dexterity of athletes and that of band members. Two random samples of 30 are selected from each group and are given a manual dexterity test. The mean of the athletes’ test was 87, and the mean of the band members’ test was 92. The population standard deviation for the test is 7.2. At a = 0.01, is there a significant difference in the mean scores?