A population has a mean $\mu = 21$ and standard deviation $\sigma = 11$. Find the $z$-score for a population value of 40 .
A) 0.6
B) 3.6
C) 19
D) 1.7

Question

Quizplus · Accepted Answer

The $z$-score is calculated using the formula $z = \frac{(X - \mu)}{\sigma}$, where $X$ is the population value, $\mu$ is the mean, and $\sigma$ is the standard deviation. Substituting the given values, $z = \frac{(40 - 21)}{11} = \frac{19}{11} = 1.7$.

A Population Has a Mean μ=21\mu = 21μ=21 And Standard Deviation σ=11\sigma = 11σ=11

A Population Has a Mean $\mu = 21$ And Standard Deviation $\sigma = 11$