Hypothesis
one-sample t test is used when we want to know whether our sample comes from a particular population but we do not have full population information available to us. For instance, we may want to know if a particular sample of college students is similar to or different from college students in general. The one-sample t test is used only for tests of the sample mean. Thus, our hypothesis tests whether the average of our sample (μ) suggests that our students come from a population with a known mean (μ) or whether it comes from a different population.

The statistical hypotheses for one-sample t test take one of the following forms, depending on whether your research hypothesis is directional or nondirectional. In the equations below, μ₁ refers to the population from which the study sample was drawn; μ is replaced by the actual value of the population mean. The statistical hypotheses are identical to those used for one-sample Z tests.

Make the statistical hypothesis section the same form as the one-sample z test page.
Write out the form of each hypothesis when the population mean (M) equals 1.27.
Write answer beside formulas phonetically.