A Unit Coordinator has chosen three of the tutorial groups at random from the list of tutorials and would like to compare the in-semester scores (out of 50) for students in the three groups. Students can be assumed to be independent. Analyse the hypothesis that the three groups have the same average score with a significance level of 0.05.

A B 1 Group Score 2 Group A 37 3 Group A 39 4 Group A 48 Group A 40 6 Group A 41 7 Group A 49 8 Group A 42 9 Group A 34 10 Group A 37 11 Group A 38 12 Group A 46 13 Group A 42 14 Group A 42 15 Group A 41 16 Group A 37 17 Group A 49 18 Group A 42 19 Group A 30 20 Group A 44 21 Group A 38 22 Group B 29 23 Group B 33 24 Group B 29 25 Group B 30 26 Group B 31 27 Group B 26 28 Group B 38 29 Group B 35 30 Group B 2831 Group B 40 32 Group B 36 33 Group B 33 34 Group B 38 35 Group B 38 36 Group B 38 37 Group B 37 38 Group B 37 39 Group B 34 40 Group B 32 41 Group B 32 42 Group B 31 43 Group B 33 44 Group C 36 45 Group C 50 46 Group C 48 47 Group C 36 48 Group C 40 49 Group C 40 50 Group C 46 51 Group C 42 52 Group C 43 53 Group C 42 54 Group C 42 55 Group C 49 56 Group C 41 57 Group C 50 58 Group C 34 59 Group C 45 60 Group C 43 61 Group C 43 62 Group C 44 63 Group C 39 64 Group C 40 65 Group C 37 66 Group C 37 67 Group C 44 68 Group C 44