A random variable X is normally distributed with = 60. Convert the value of X to a z-score, if the standard deviation is
as given.
-$$X = 68 ; \sigma = 8$$
A) 1
B) 8
C) 68
D) $\frac { 15 } { 2 }$

Question

Quizplus · Accepted Answer

The z-score is calculated using the formula $z = \frac{X - \mu}{\sigma}$, where $X$ is the value, $\mu$ is the mean, and $\sigma$ is the standard deviation. Substituting the given values, $z = \frac{68 - 60}{8} = 1$.

A Random Variable X Is Normally Distributed with = 60 X=68;σ=8X = 68 ; \sigma = 8X=68;σ=8

A Random Variable X Is Normally Distributed with = 60 $X = 68 ; \sigma = 8$