a) Z = (score-mean)/SD/√n
Look in the back of your statistics textbook for a table called something like “area under normal distribution” to find the proportions/probabilities related to the Z scores.
b) Z = (score-mean)/SD
Almost all medical schools in the United States require students to take the Medical College Admission Test (MCAT). To estimate the mean score 𝜇 of those who took the MCAT on your campus, you will obtain the scores of an SRS of students. The scores follow a Normal distribution, and from published information, you know that the standard deviation of scores for all MCAT takers is 10.4. Suppose that (unknown to you) the mean score of those taking the MCAT on your campus is 510.
a) Using the same sample size of 25 students, what is the probability that the mean score of your sample is between 505 and 515?
Give your answer to four decimal places.
b)If you choose one student at random, what is the probability that the student's score is between 505 and 515?
1 answer