Converting from a Normal
Curve to the z-Distribution
In order to utilize the table, it is necessary to convert the information of any given Normal Curve to the Standard Normal Curve,
= 0; s = 1. The table is entered with the value z (the converted X value), and gives the cumulated area.
The equation for z is as follows:
Note that z is dependent on the population constants' mean and standard deviation. In essence, z is the deviation of x from the Mean measured in units of Standard Deviation. The same equation can be used for any value of mu and theta of a population that follows the Normal Curve.
z-Distribution and our UCLA population
2:5