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Professor Albert Francis had students in his Psychology 201 class rate his performance. The ratings are kept from the professor till release of the course marks. The course marks are shown in the table below, under the respective rating given by the students. Performance Rating Excellent Good Fair Poor Table 5 Apply and perform an appropriate test to check if there is a difference in the mean marks received by students in each of the rating categories. Show all relevant workings and steps in the test, and test at 1% level of signicance. (20 marks)