When testing a hypothesis with one or two groups selected from a population with an unknown variance,a t test is appropriate.

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A t test is appropriate when we are testing a hypothesis about the mean of a population when the population variance is unknown and the sample size is small (less than 30). This is because the t distribution allows us to estimate the population variance using the sample variance, which is used to calculate the test statistic. Therefore, if we have one or two groups selected from a population with an unknown variance, a t test is appropriate.

When Testing a Hypothesis with One or Two Groups Selected