Final answer:
The statement regarding the lane assignments of swimmers P and K is false, as the conditions indicate that K is in a lower-numbered lane than J, but do not dictate P's lane relative to K.
Step-by-step explanation:
The statement 'Swimmer P is assigned a lower-numbered lane than is swimmer K' is false. Based on the given conditions, swimmer K must be in a lower-numbered lane than swimmer J, but there is no information provided that necessitates swimmer P to be in a lower-numbered lane than swimmer K.
Instead, the logical interpretation of the conditions would place P in a higher-numbered lane than K, since K is already in a lane lower than J.