Hypothesis Tests Concerning the Mean

Test Statistic for Hypothesis Tests of the Population Mean. H₀: μ = μ₀

The t-Test. If the population sampled has unknown variance and either:

1 the sample is large, or

2 the sample is small but the population sampled is normally distributed, or approximately normally distributed,

then the test statistic for hypothesis tests concerning a single population mean, μ, is

2 If the population sampled has unknown variance and the sample is large, in place of a t-test, an alternative test statistic (relying on the central limit theorem) is