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According to the College Board, the mean score for 2021 graduates who took the Scholastic Aptitude Test (SAT) is 1060 points (of 1600 possible) with

According to the College Board, the mean score for 2021 graduates who took the Scholastic Aptitude Test (SAT) is 1060 points (of 1600 possible) with a standard deviation of 217 points. Assume that SAT scores are normally distributed.

  1. Approximately what percent of SATtakers score 1350 and above
  2. Approximately what is the probability of a random sample of 9 SAT takers getting a group average score of 1350 and above? Is this probability higher or lower than the probability of one random student getting a score of 1350 or higher? Show your work and intuitively explain.

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