Scores on the Critical Reading part of the SAT exam in a recent year were roughly Normal with mean 496 and standard deviation 115. You choose an SRS of 100 students and average their SAT reading scores. What is the probability that their average score is between 487 and 508?

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Scores on the Critical Reading part of the SAT exam in a recent year were roughly Normal with mean 496 and standard deviation 115. You choose an SRS of 100 students and average their SAT reading scores. What is the probability that their average score is between 487 and 508?

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Scores on the Critical Reading part of the SAT exam in a recent year were roughly Normal with mean 496 and standard deviation 115.  You choose an SRS of 100 students and average their SAT reading scores.  If you consider very many samples of this size, the standard deviation in their average scores will be close to:

 

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