So, you were correct, but you aren't sure exactly why. I will explain.
Let's simplify Bart's argument with a diagram. If a process is not understood, then the result is not acceptable.
Results accepted ------> process understood process not understood ------> results not acceptable
Anne's argument: If a result can be repeated, then it is acceptable. "Repeatable" is the sufficient condition.
Repeatable ------> acceptable not acceptable ------> not repeatable
For this question type, remember that each author will have an opinion about the correct answer. If we cannot determine one author's opinion, then it is not the correct answer.
A. We have no idea what Bart would say about this. He may agree or disagree. He has given us one necessary condition, which is "understandable process." He might believe that "repeatable" is another necessary condition, but we do not know for certain, so we will not choose A.
B. Again, we have no idea what Bart believes about repeatability. Even Anne might not agree with B, because she claims that replication is a sufficient condition, not a necessary one.
C. Anne says that repeatability alone is enough to guarantee acceptability. Bart would certainly disagree with her, as he believes there is another requirement. Consider a result with these characteristics. 1. Process is not understandable. 2. Result is repeatable. Anne: Acceptable. Bart: Not acceptable.
D. Anne never responds to Bart's discussion of complexity. Incorrect.
E. Irrelevant. There was never an issue of math vs. science.