Standard Normal Cumulative Probability Table Cumulative probabilities for NEGATIVE z-values are shown in the following table:

STATISTICAL TABLES 1 TABLE A.1 Cumulative Standardized Normal Distribution A(z) is the integral of the standardized normal distribution from −∞to z (in other words, the area under the curve to the left of z). It gives the probability of a normal random variable not being more than z standard deviations above its mean.

124 Standard Normal Table (positive z values, cumulative probabilities) z 0.00 0.01 0.02 0.03 0.04 0.05 0.06 0.07 0.08 0.09 0.0 0.5000 0.5040 0.5080 0.5120 0.5160 0. ...

The table value for Z is the value of the cumulative normal distribution. For example, the value for 1.96 is P(Z<1.96) = .9750. Find the p-value using the standard normal table.

Tables of the Normal Cumulative Distribution The table below gives the probability p that a Standard Normal random variable Z (ie mean = 0 and variance = 1) is less than or equal to z .

The table reports the area under the standard normal curve to the left of the value z.

Cumulative Standard Normal Distribution The cumulative standard normal distribution means P(Z ≤ z0) = Z z 0 −∞ 1 √ 2π e−u2/2du where Z follows a standard normal distribution. prob z0 −0.09 −0.08 −0.07 −0.06 −0.05 −0.04 −0.03 −0.02 −0.01 −0.00 −3.7 0.0001 0.0001 0.0001 0.0001 0.0001 0.0001 0.0001 0.0001 0.0001 0.0001

The table gives the probabilities ® = Φ(z) to the left of given z–values for the standard normal distribution. For example, the probability that a standard normal random variable Z is less than 1.53 is found at the intersection of the 1.5 rows and the 0.03 column, thus Φ(1:53) = P (Z · …

Table E The Standard Normal Distribution Cumulative Standard Normal Distribution z.00 .01 .02 .03 .04 .05 .06 .07 .08 .09 3.4 .0003 .0003 .0003 .0003 .0003 .0003 ...

In statistics, a standard normal table, also called the unit normal table or Z table, [1] is a mathematical table for the values of Φ, the cumulative distribution function of the normal distribution.