Suppose a random variable $x$ is best described by a normal distribution with $\mu = 60$ and $\sigma = 4$. Find the $z$-score that corresponds to the value $x = 45$.
A) $3.75$
B) $- 3.75$
C) $- 4$
D) 4

Question

Quizplus · Accepted Answer

The $z$-score is calculated using the formula $z = \frac{x - \mu}{\sigma}$, where $x$ is the value in question, $\mu$ is the mean, and $\sigma$ is the standard deviation. Plugging in the given values, $z = \frac{45 - 60}{4} = -3.75$.

Suppose a Random Variable xxx Is Best Described by a Normal Distribution With

Suppose a Random Variable $x$ Is Best Described by a Normal Distribution With