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Z-test is a statistical test where normal distribution is applied and is basically used for dealing with problems relating to large samples when n â¥ 30. Don't miss these related articles: 1  1 ANOVA.
A t-test can be used to account for the uncertainty in the sample variance when the sample size is small and the data are exactly normal. There is no universal constant at which the sample size is generally considered large enough to justify use of the plug-in test. Typical rules of thumb range from 20 to 50 samples. For larger sample sizes, the t-test procedure gives almost identical p-values as the Z-test procedure. Other location tests that can be performed as Z-tests are the two-sample location test and the paired difference test.