Question

the results of a common standardized test used in psychology research is designed so that the population mean is 140 and the standard deviation is 10. a subject earns a score of 162. what is the z - score for this raw score?

z - score =

Explanation:

Step1: Recall z - score formula

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

Step2: Identify values

We are given that $\mu = 140$, $\sigma=10$, and $x = 162$.

Step3: Substitute values into formula

$z=\frac{162 - 140}{10}=\frac{22}{10}=2.2$

Answer:

$2.2$