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A Unisa researcher wants to know if students' perceptions of continuous assessment change as they progress in the semester. The researcher randomly selected five students

A Unisa researcher wants to know if students' perceptions of continuous assessment change as they progress in the semester. The researcher randomly selected five students who registered for a module that has continuous assessment and measured their perceptions at the beginning, in the middle and at the end of the semester. The scores obtained from the survey are provided in Table 2 below. Table 2 Perceptions of Continuous Assessment Scores Beginning (X1) Middle (X2) End (X3) 2 3 3 3 3 5 1 2 4 3 4 5 2 4 6 X1 = 11 X2 = 16 X3 = 23 1 = 2,2 2 = 3,2 3 = 4,6 Totals: = 3,33 X = 50 X 2 = 192 The researcher's question was as follows: Is there a significant difference in the students' perceptions of continuous assessment as they progress in the semester? Stated differently, the following null hypothesis needs to be tested: H0: 1 = 2 = 3 with = 0,01 3.1 Choose an appropriate test statistic to test this hypothesis and calculate the test statistic. Present your answers in a summary table. (8)

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