on a standardized exam, the scores are normally distributed with a mean of 135 and a standard deviation of…

on a standardized exam, the scores are normally distributed with a mean of 135 and a standard deviation of 25. find the z - score of a person who scored 160 on the exam.

on a standardized exam, the scores are normally distributed with a mean of 135 and a standard deviation of 25. find the z - score of a person who scored 160 on the exam.

Answer

Answer:

1

Explanation:

Step1: Recall z - score formula

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

Step2: Identify values

$x = 160$, $\mu=135$, $\sigma = 25$

Step3: Substitute values into formula

$z=\frac{160 - 135}{25}=\frac{25}{25}=1$