Final answer:
The statement tying Kenyon's student status to walking on the Middle Path is false, as being a student at a college is based on academic enrollment, not on walking along a specific path.
Step-by-step explanation:
The statement 'A woman is a Kenyon student only if she walks along a middle path' is false. The question uses a conditional statement, which is a statement of the form 'If A, then B'. In this case, A is an 'a woman is a Kenyon student' and B is 'she walks along middle path'. The conditional statement is false if and only if A is true and B is false. So, there can be women who are Kenyon students but do not walk along the middle path, making the statement false.