Final answer:
The appropriate post-hoc test to use when the data meet the homogeneity of variance assumption and sample sizes are equal is the Tukey's HSD test.
Step-by-step explanation:
The appropriate post-hoc test to use when the data meet the homogeneity of variance assumption and sample sizes are equal is the Tukey's HSD test.
Tukey's HSD (honest significant difference) test is a pairwise comparison test that is used to determine which specific groups differ significantly from each other in terms of their means.
This test is suitable when the sample sizes are equal and the homogeneity of variance assumption is met, making it a reliable option for comparing means across multiple groups.