The head of Business Management Education Department of a famous university in Bandung stating proudly that the statistic test scores of all students in his department are at least 75. To test his statement, a sample of 40 students from the university was collected and the data assumed were normally distributed as follows:

80 71 59 56 68 78 82 87

98 90 65 76 70 83 80 90

53 64 78 68 92 90 82 75

60 66 86 88 90 82 66 70

78 80 90 86 68 96 84 75

Test the hypothesis of the head of Business Management Education Department at alpha () 5% and give a conclusion and interpret the result!