Suppose that a researcher is interested in the effect of a new college preparation course on scores for a standardized critical thinking test with a population mean of μ = 20. Students receive training in the course and later receive the standardized test. The researcher wants to test the hypothesis that the course affected test scores.

a. In words, state the null and alternative hypotheses as they relate to the treatment in this example.

b. Use symbols to state the null and alternative hypothesis.