This page gives some exercises in which you will evaluate the p-values for hypothesis tests involving two group means.

Although we encourage the use of a computer to perform the calculations in practice, each of the steps for hand-calculation involves an important statistical principle, so you will find it useful to try a few of the exercises.


Exercises

The exercises below are a mixture of one-tailed and two-tailed tests.

Use the templates to evaluate the p-value, decide on your conclusion for the test, then click Check.

Repeat with different data sets until you feel confident with the method.