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

6. Almost all medical schools in the United States require students to take the Medical College Admission Test (MCAT). The scores follow a normal distribution. From published information the standard deviation is 6.4. On a particular campus, the mean score of those taking the MCAT is 25.0.

a. If a student is chosen at random, what is the probability the individual’s score is between 20 and 30?

b. In a sample of 25 students, what is the sampling distribution of the average score, ??̅?
c. What is the probability that the average score of 25 students is between 20 and 30?
d. How large of sample is needed to reduce the standard deviation of the sample mean to just 1?

Math   Statistics-And-Probability   
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