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 from a statistical study of students. The scores follow a Normal distribution, and from published information you know that the standard deviation is 6.1. Suppose that the typical mean score of those taking the MCAT on your campus has been equal to 25. (a) If you choose one student at random, what is the probability that the student's score is between 20 and 30? (Round your answer to four decimal places.) (b) You sample twenty-five students. What is the standard deviation of sampling distribution of their average score x? (Enter your answer to two decimal places.) (c) What is the probability that the mean score of your sample is between 20 and 30? (Round your answer to four decimal places if needed.)
Almost all medical schools in the United States require students to take the Medical College Admission Test (MCAT). To estimate the
(a) If you choose one student at random, what is the probability that the student's score is between 20 and 30? (Round your answer to four decimal places.)
(b) You sample twenty-five students. What is the standard deviation of sampling distribution of their average score x? (Enter your answer to two decimal places.)
(c) What is the probability that the mean score of your sample is between 20 and 30? (Round your answer to four decimal places if needed.)
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