Try to imagine this :
Get a Latex ball, and put it on a dry waterslide.
Then, get the same Latex ball, and put it on the same waterslide, but this time, let it be wet.
You will see that in the first case, the ball will not slip (well, it can slip, but the chance of it sliping will be less than the chance when the waterslide is wet).
Draw an illustration, and see what are the forces holding the ball, you will notice there is ONLY friction holding the ball (actually, a similar experiment is used to calculate the coefficient of friction of matters).
On the other hand, in the case when the waterslide was wet, the ball will slide (again, it might not slide, but its chance of sliding will be bigger), if you try to notice the change in forces between case1 and case2, you will see that only a change in friction is possible (since the weight of the ball will not change, the normal force will not change (remember, you are on the same waterslide), so only friction will change).
So it is clear that the friction force on the ball changed when water was added, and since the normal didn't change, then the coefficient of friction is what is changed (remember that friction force depends on normal force and coefficient of friction).
Does this help ?