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Almost all medical schools in the United States require students to take the Medical College Admission...

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Statistics

Almost all medical schools in the United States require studentsto take the Medical College Admission Test (MCAT). To estimate themean score ?μ of those who took the MCAT on your campus, you willobtain the scores of an SRS of students. The scores follow a Normaldistribution, and from published information you know that thestandard deviation is 10.810.8 . Suppose that, unknown to you, themean score of those taking the MCAT on your campus is 495495 .

In answering the questions, use ?z‑scores rounded to two decimalplaces.

(a) If you choose one student at random, what is the probabilitythat the student's score is between 490490 and 500500 ? UseTable A,or software to calculate your answer.

(Enter your answer rounded to four decimal places.)

probability:

(b) You sample 3636 students. What is the standard deviation ofthe sampling distribution of their average score ?¯x¯ ? (Enter youranswer rounded to two decimal places.)

standard deviation:

(c) What is the probability that the mean score of your sampleis between 490490 and 500500 ? (Enter your answer rounded to fourdecimal places.)

Answer & Explanation Solved by verified expert
3.8 Ratings (719 Votes)
Let X be the random variable denoting the MCAT scoresThus X N495 108ie X 495108 N01a If we choose    See Answer
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