The chi-square distribution table is a reference tool you can use to find chi-square critical values. Standard Normal Distribution Table (Right-Tail Probabilities) z. So, mathematically, you represent this as. How to Use Table A.2: The values in this table represent the proportion of areas in the standard normal curve, which has a mean of 0, a standard deviation. It is applicable for only positive values of z. The normal distribution, also known as Gaussian distribution, is a persistent probability distribution. It has a standard deviation that is equal to 1. The standard normal distribution table is used to calculate the probability of a regularly distributed random variable Z, whose mean is 0 and the value of standard deviation equals 1. If you square all the values in your sample, you now have the chi-square distribution with one degree of freedom, or ( k 1 ). The standard normal distribution, in order words referred to as the Z-distribution, has the following properties: First, it has an average or says a mean of zero. This table gives a probability that a statistic is less than Z (i.e. Say you take a random sample of a standard normal distribution, (Z). Note that for z = 1, 2, 3, one obtains (after multiplying by 2 to account for the interval) the results f( z) = 0.6827, 0.9545, 0.9974, If X is a random variable from a normal distribution with mean μ and standard deviation σ, its Z-score may be calculated from X by subtracting μ and dividing by the standard deviation:
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