There are two math teachers at Delta College who are at odds about pedagogy. One teacher (teacher A) claims that the traditional way of teaching math is better. Teacher A’s students had a mean score of 473 with a standard deviation of 35. This teacher had 12 students take the placement test. Teacher B’s students had a mean score of 450 with a standard deviation of 40. This teacher had 15 students take the test. Can you conclude that the traditional way is better? Assume that the populations are normal and that the variances are not equal (not pooled).
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