Question

In: Statistics and Probability

2. Abby is about to graduate from OSU, and she cannot decide if she should go...

2. Abby is about to graduate from OSU, and she cannot decide if she should go to Medical School or Law School. To cover her bases, she decides to take both the Medical College Admission Test (MCAT) and the Law School Admission Test (LSAT). Her scores on each of these standardized exams are presented in the following table, along with the means and standard deviations of those exams. Both exams have distributions that are Normal. Please use this information to answer the following questions. To get as much credit as possible here, be sure to show all of your work!

Abby’s score

Mean

Standard Deviation

MCAT. 485, 501.8, 9.5

LSAT 140,150.7,10.2

a. Abby’s roommate, Shonda, took the MCAT and received a score of 512. What percentage of individuals who take the MCAT would have scores higher than Shonda’s score?  

Solutions

Expert Solution

P (Z>1.07) = 1 - P(Z<1.07)

P(Z<1.07) = 0.8577 (Refer to standard normal table below)

P (Z>1.07) = 1 - 0.8577

P (Z>1.07) = 0.1423

Thus, 14.23% of individuals who take the MCAT would have scores higher than Shonda’s score

orchestra answered 2 years ago
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