Students in a large section of a biology class have been randomly assigned to one of two graduate students for the laboratory portion of the class. A random sample of final examination scores has been selected from students supervised by each graduate student, with the following results.

a. What are the null and alternative hypotheses for this test?

b. Use ANOVA and the 0.01 level of significance in testing the null hypothesis identified in part a.

Solution: (a) The hypotheses are

(b) Again, we use Minitab to get the following results:

The table above shows that the p-value for the test is p = 0.036, which is greater than the significance level 0.01. That means that we fail to reject the null hypothesis at the 0.01 significance level.