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The scores of 12th-grade students on the National Assessment of Educational Progress year 2000 mathematics test...

The scores of 12th-grade students on the National Assessment of Educational Progress year 2000 mathematics test have a distribution that is approximately Normal with mean µ = 292 and standard deviation s = 32. Choose one 12th-grader at random. What is the probability (±0.1) that his or her score is higher than 292? Higher than 388 (±0.001)? Now choose an SRS of 16 twelfth-graders and calculate their mean score x⎯⎯⎯. If you did this many times, what would be the mean of all the x⎯⎯⎯-values? What would be the standard deviation (±0.1) of all the x⎯⎯⎯-values? What is the probability that the mean score for your SRS is higher than 292? (±0.1) Higher than 388? (±0.0001)

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