Question

before applying to law school in the us, students need to take an exam called the lsat. before applying to medical school, students need to take an exam called the mcat. here are some summary statistics for each exam:

exam	mean	standard deviation
mcat	$mu = 25.1$	$sigma = 6.4$

juwan took both exams. he scored 172 on the lsat and 37 on the mcat.

on which test did juwan score relatively better, compared to others who took the test?

choose 1 answer:

Explanation:

Step1: Calculate z - score for LSAT

The z - score formula is $z=\frac{x-\mu}{\sigma}$. For LSAT, $x = 172$, $\mu=151$, $\sigma = 10$. So $z_{LSAT}=\frac{172 - 151}{10}=\frac{21}{10}=2.1$.

Step2: Calculate z - score for MCAT

For MCAT, $x = 37$, $\mu = 25.1$, $\sigma=6.4$. So $z_{MCAT}=\frac{37 - 25.1}{6.4}=\frac{11.9}{6.4}\approx1.86$.

Step3: Compare z - scores

Since $2.1>1.86$, a higher z - score means a better relative performance.

Answer:

Juwan scored relatively better on the LSAT.