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5 27 The Medical College Admission Test Almost all medical schools in the United States...

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5 27 The Medical College Admission Test Almost all medical schools in the United States require students to take the Medical College Admission Test MCAT To estimate the mean score of those who took the MCAT on your campus you will obtain the scores of an SRS of students The scores follow a Normal distri bution and from published information you know that the standard deviation is 10 4 Suppose that unknown to you the mean score of those taking the MCAT on your campus is 500 0 a If you choose one student at random what is the probability that the student s score is between 495 and 505 b You sample 25 students What is the sampling dis tribution of their average score x c What is the probability that the mean score of your

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