Use a z-table to find probabilities corresponding to ranges of z-scores and to find p-values for z-tests. This area represents the probability that z-values will fall within a region of the standard normal distribution. Where \(Z\) is the value on the standard normal distribution, \(X\) is the value on the original distribution, \(\mu\) is the mean of the original distribution, and \(\sigma\) is the standard deviation of the original distribution. The following table gives the proportion of the standard normal distribution to the left of a z- score. Standard Normal Distribution Table (Right-Tail Probabilities) z. A z-table, also known as the standard normal table, provides the area under the curve to the left of a z-score. \): An example from the appletĪ value from any normal distribution can be transformed into its corresponding value on a standard normal distribution using the following formula:
