Answer to Question #212779 in Statistics and Probability for Jhay

Question

When is it appropriate to use the t-distribution in testing a hypothesis about a population mean?

In what ways are the distributions of the z-statistic and the t-statistic alike?

Answer 1

It is appropriate to use the t-distribution when the distribution is approximately normal and the sample size is small(n<30).

Both the z and t statistic are used to test hypotheses about the mean.