Question

when the mean is 80 and the standard deviation is 6, then z -score for 94 is 0.323. true false

Explanation:

Step1: Recall z - score formula

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

Step2: Substitute the given values

We are given that $\mu = 80$, $\sigma=6$, and $x = 94$. Substituting these values into the formula, we get $z=\frac{94 - 80}{6}$.

Step3: Calculate the numerator and then the z - score

First, calculate the numerator: $94-80 = 14$. Then, divide by the standard deviation: $z=\frac{14}{6}\approx2.333$.
Since the calculated z - score is approximately 2.333, not 0.323, the statement is false.

Answer:

FALSE