A continuous random variable x is normally distributed with a mean of 100 oz. and a standard deviation of 20 oz. Given that x = 120, its corresponding z-score is -1.0.

Question

Quizplus · Accepted Answer

The z-score is calculated as $z = \frac{x - \mu}{\sigma}$, where $x$ is the value in question, $\mu$ is the mean, and $\sigma$ is the standard deviation. Plugging in the given values, $z = \frac{120 - 100}{20} = 1$, not -1.

A Continuous Random Variable X Is Normally Distributed with a Mean