Nice pickup on the conditional language in the stimulus,
ttunden!
This conditional language is exactly what makes this stimulus so darn complicated. However, it's actually
not a mistaken reversal, though I'd bet the LSAT writers hoped to snare you with that.
The problem is in how you diagrammed the second sentence. The usage of "only" here is a bit tricky. The sentence is not saying that statistical analysis is the
only way to explain events that can be replicated, but rather that it
can only be used when events can be replicated.
Consider this similar sentence "
A pen can only be used to write things." This tells me that a pen has one and only one permissible use: to write things. The conditional would be:
if use pen --> write things
We'd have to write the sentence quite differently to get "
if write things --> use pen", as we would need to establish that pens are the only permissible way. "
Only a pen can be used to write" would do the trick there!
Notice the different placements of the word "only". If the sentence in the stimulus had read "
Only statistical analysis can be used to explain events that can be replicated...", then your original diagramming would have been correct. But since it says "
[statistical analysis] can only be used...to explain events that can be replicated", we have to diagram it like this:
If use SA --> can replicate event
Given this, the next sentence is simply the application of the contrapositive, and is valid.
As I said, this conditional language is pretty dense, and it's meant only to distract you from the actual gap in the argument. Good for you for sticking to your guns on that flaw, and accepting
(E)!