Answer
True
Work Step by Step
True, Tukey test does analysis of two means at a time.
The Tukey HSD test is designed specifically for pairwise comparisons (comparing means two at a time). It is more powerful in this context, meaning it is more likely to detect real differences when they exist.
The Scheffé test, on the other hand, is more conservative because it can handle all possible contrasts (not just pairwise). As a result, it has less power for pairwise tests.
So, for pairwise comparisons, Tukey’s test is more powerful than Scheffé’s.