Question

use the following information to answer the next 4 questions. the scores on the lsat are approximately normal with mean of 150.7 and standard deviation of 10.2. (source: www.lsat.org.) queens school of business in kingston, ontario requires a minimum lsat score of 157 for admission. what is the z - score for a score of 157? round to three decimal places (example: 0.398).

Explanation:

Step1: Recall z - score formula

The z - score formula is $z=\frac{x-\mu}{\sigma}$, where $x$ is the value, $\mu$ is the mean and $\sigma$ is the standard deviation.

Step2: Identify values

We have $x = 157$, $\mu=150.7$ and $\sigma = 10.2$.

Step3: Substitute values into formula

$z=\frac{157 - 150.7}{10.2}=\frac{6.3}{10.2}\approx0.618$

Answer:

$0.618$