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 ? = 325 and standard deviation ? = 34 . A. Choose one 12th-grader at random. What is the probability (±±0.1) that his or her score is higher than 325 ? _____ Higher than 359 (±±0.001)? _____ B. Now choose an SRS of 4 twelfth-graders and calculate their mean score x¯. If you did this many times, approximately what would be the mean of all the x¯-values? ____ C. Approximately what would be the standard deviation (±±0.1) of all the x¯-values? _____ D. What is the probability that the mean score for your SRS is higher than 325 ? (±±0.1) ____Higher than 359 ? (±±0.0001) ____
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