Final answer:
The number of post-hoc between-group comparisons necessary in a one-way ANOVA test with 9 groups is 36.
Step-by-step explanation:
In a one-way ANOVA test with 9 groups, the number of post-hoc between-group comparisons necessary can be calculated using the formula n(n-1)/2, where n is the number of groups. In this case, n = 9, so the number of comparisons is 9(9-1)/2 = 36.
Therefore, the correct answer is b) 36.