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In: Statistics and Probability

The scores on the final of a math class last semester had a median of 28...

The scores on the final of a math class last semester had a median of 28 out of 40, with the highest
score of 39 and a lowest score of 6. Suppose that the curve had a normal distribution. Suppose
I took a simple random sample of 3 students from last semester and found their scores on the
final to be 15, 30, and 36. We wish to test the hypothesis that the average of all the students in
the adjunct was the lower than the average of the entire class.

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