Step 1: Real aquifers are made of layered sediments or fractured rock, so their permeability changes with both location and direction; this is exactly why the ideal assumption of an isotropic, homogeneous aquifer is a simplification rarely matched in the field, supporting Statement (I).
Step 2: A pumping test needs data on how drawdown spreads outward from the pumped well over time and distance. To capture this, engineers place a network of observation wells at varying radii, some near and some far from the pumped well, and read the water levels in them, which is precisely Statement (II).
\[\boxed{\text{Both Statement (I) and Statement (II) are correct}}\]