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From past experience, a professor knows that the test score of a student taking his final...

From past experience, a professor knows that the test score of a student taking his final examination is a random variable with mean 67.8 and standard deviation of 6.5.

(a.) How many students would have to take the examination to ensure, with probability at least 0.94, that the class average would be within 2.5 of 67.8?

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