An administrator claims that the average test scores between two instructors at a school are different. In a sample of 28 students from the first instructor’s class, the average test score was 32 out of 50 points with a standard deviation of 5 points. In a sample of 33 students from the second instructor’s class, the average was 29 out of 50 with a standard deviation of 6 points. Assuming both populations are normally distributed and the population variances are not equal, is there enough evidence to reject this claim? Use α = 0.01.
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