Mr Sum wishes to investigate whether a student's test score depends on whether the test is taken in the morning or in the afternoon. He selects a random sample of 35 students of similar ability, and randomly assigns some of them to take the test in the morning and the rest to take the test in the afternoon. The students taking the test in the morning are kept away from the students taking the test in the afternoon. The ordered scores are given in the following table (M for morning sitting, A for afternoon sitting).

Using a suitable approximation, test, at a 2% level of significance, whether exam performance is affected by the session in which a student takes the examination.

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M 31 M 64 32 A 65 M 38 A 66 39 67 A 41 A 68 A 43 A 69 M 44 M 70 A 47 A 72 M 48 A 73 A 49 A. 75 M 51 A 76 A 56 A 78 M 57 81 A 58 A 82 M 59 85 60 A 86 M 62 A 88 63