National math scores. The scores of 12th-grade students on the NationalAssessment of

Chapter 0, Problem 11.9

(choose chapter or problem)

National math scores. The scores of 12th-grade students on the NationalAssessment of Educational Progress year 2000 mathematics test have adistribution that is approximately Normal with mean = 300 and standarddeviation = 35.(a) Choose one 12th-grader at random. What is the probability that his or herscore is higher than 300? Higher than 335?(b) Now choose an SRS of four 12th-graders and calculate their mean score x. Ifyou did this many times, what would be the mean and standard deviation of allthe x-values?(c) What is the probability that the mean score for your SRS is higher than 300?Higher than 335?

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