Question: A teacher gives a test to a class containing several hundred students. It is known that the standard deviation of the scores is about 12

A teacher gives a test to a class containing several hundred students. It is known that the standard deviation of the scores is about 12 points. A random sample of 36 scores is obtained. What is the probability that the sample mean will differ from the population mean (in either direction) by more than 6 points?

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