Homework6: Problem 5 Previous Problem ListNext (1 point) Almost all medical scho
ID: 2921871 • Letter: H
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Homework6: Problem 5 Previous Problem ListNext (1 point) Almost all medical schools in the United States require applicants to take the Medical College Admission Test (MCAT). On normal with mean 8.9 and standard deviation 2.4. For applicants who actually entered medical school, the mean score was 10.5 and the standard deviation was 1.7. Note: Enter your answers in the form 7422%, not 0.7422. one exam, the scores of all applicants on the biological sciences part of the MCAT were approximately (a) What percent of all applicants had scores higher than 12? ANSWER (b) What percent of those who entered medical school had scores between 9 and 11? ANSWER Note: You can earn partial credit on this problem. Preview My Answers Submit Answers You have attempted this problem 0 times. You have 3 attempts remainingExplanation / Answer
A) P(X > 12) = P((X - mean)/SD > (12 - 8.9)/2.4)
= P(Z > 1.29)
= 1 - P(Z < 1.29)
= 1 - 0.9015 = 0.0985 = 9.85%
B) P( 9 < X < 11) = P((9 - 10.5)/1.7 < (X - mean)/SD < (11 - 10.51) /1.7)
= P(-0.89 < Z < 0.29)
= P(Z < 0.29) < P(-0.89)
= 0.6141 - 0.1867 = 0.4274 = 42.74%
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