Textbook Problem

What information is provided by the sign (+/–) of a z-score? What information is provided by the numerical value of the z-score?

To determine

To Find: The information is provided by the sign $\left(+/-\right)$ of z-score and the information is provided by the numerical value.

Answer to Problem 1P

The sign of z-score indicates whether the location is above the mean or below the mean. The numerical value of z-score specifies the number of standard deviations between X and $\underset{\_}{\mu }.$

Explanation of Solution

According to the concept of z-score, the z-score identifies an exact location in a distribution with a single number. The sign of z-score describes the location is above the mean “plus sign” and location below the mean “minus sign” and the numerical value of z-score specifies the distance from the mean in terms of number of standard deviations.