Question

use the information on the right to determine which students will have positive z-scores

aaliyah, who completed the exam in 55 minutes
benjamin, who completed the exam in 86 minutes
cynthia, who completed the exam in 72 minutes

cynthias z-score is

information on the right:
the time to complete a standardized exam is approximately normally distributed with mean \\(\mu\\) minutes and standard deviation \\(\sigma\\).
\\(\mu = 70\\) minutes
\\(\sigma = 10\\) minutes

Explanation:

Identify given values

Using the Z-Score Formula knowledge point

$$
LATEXBLOCK0
$$

Calculate the z-score

Using the Z-Score Formula knowledge point

$$ z = \frac{x - \mu}{\sigma} = \frac{72 - 70}{10} = \frac{2}{10} = 0.2 $$

Answer:

Cynthia's z-score is <blank>0.2</blank>