EXAMPLE 14.16 The Major Question

CASE 14.2 The two new methods are based on the same idea. Are they superior to the standard method? We can formulate this question as the null hypothesis

with the alternative

The hypothesis compares the average of the two innovative methods (DRTA and Strat) with the standard method (Basal). The alternative is one-sided because the researchers are interested in demonstrating that the new methods are better than the old. We use the subscripts 1 and 2 to distinguish two sets of hypotheses that correspond to two specific questions about the means.