It has been suggested that students who listen to music while taking exams perform better that those who do not listen to music. Researchers selected students from a large physics class at random and divided the students into three groups. Each student was provided earphones and a music source prior to taking a test. The first group listened to Mozart, the second group listened to white noise, and the third group listened to ambient instrumental music. Grades for each group is presented below. At the 5% significance level, can we infer from this data that there are differences between the three groups?
Mozart 61 32 56 61 49 48 43 49 36 63 53 44 36 55 54 42 38 46 47 59 70 49 38 45 60 41 24 53 68 65
White noise 69 57 66 36 54 62 65 47 63 62 53 47 44 56 54 56 64 76 58 63 57 52 65 58 55 76 75 62 60 52
Ambient Instrumental 65 50 65 57 44 72 53 47 81 47 68 48 61 76 65 53 47 62 64 58 75 52 64 59 69 55 57 49 60 68