SAT scores. The total SAT scores of high school seniors in recent years havemean = 1026

Chapter 0, Problem 11.12

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SAT scores. The total SAT scores of high school seniors in recent years havemean = 1026 and standard deviation = 209. The distribution of SAT scoresis roughly Normal.(a) Ramon scored 1100. If scores have a Normal distribution, what percentile ofthe distribution is this? (That is, what percent of scores are lower than Ramons?)(b) Now consider the mean x of the scores of 70 randomly chosen students. Ifx = 1100, what percentile of the sampling distribution of x is this?(c) Which of your calculations, (a) or (b), is less accurate because SAT scores donot have an exactly Normal distribution? Explain your answer.

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