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Criteria for selecting the appropriate test statistic

June 11, 2012
When sampling from a: Test Statistic
n < 30 n >= 30
Normal distribution with known variance z-statistic z-statistic
Normal distribution with unknown variance t-statistic t-statistic*
Nonnormal distribution with known variance not available z-statistic
Nonnormal distribution with unknown variance not available t-statistic*

* t-statistic is more conservative

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