on a standardized exam, the scores are normally distributed with a mean of 300 and a standard deviation of…

on a standardized exam, the scores are normally distributed with a mean of 300 and a standard deviation of 20. find the z - score of a person who scored 308 on the exam.

on a standardized exam, the scores are normally distributed with a mean of 300 and a standard deviation of 20. find the z - score of a person who scored 308 on the exam.

Answer

Answer:

$0.4$

Explanation:

Step1: Recall z - score formula

$z=\frac{x-\mu}{\sigma}$

Step2: Identify values

$x = 308$, $\mu=300$, $\sigma = 20$

Step3: Substitute values

$z=\frac{308 - 300}{20}=\frac{8}{20}=0.4$