Solution
As per the argument, archaeologists draw a conclusion that larger nasal passages of Neanderthals allowed a vastly better intake of oxygen and warm air. The question stem asks us to identify the answer choice that would be the LEAST appropriate to use as support for the conclusion. So, we have to identify the answer choice does NOT support this hypothesis of archaeologists.
(A) "S" (Strengthens): This option supports the hypothesis of archaeologists, since extensive traveling requirements would be physically demanding and hence, require a better intake of oxygen.
(B) "S" (Strengthens): This option supports the hypothesis of archaeologists, since living in cold environments would require a better intake of warm air.
(C) "S" (Strengthens): This option supports the hypothesis of archaeologists, since living in an environment of oxygen scarcity would require better intake of oxygen.
(D) "O" (Outside the scope): This option does NOT support the hypothesis of archaeologists, since arrival of Homo sapiens or the extinction of Neanderthals does not in any way support/strengthen/explain why Neanderthals required a vastly better intake of oxygen and warm air.
(E) "S" (Strengthens): This option supports the hypothesis of archaeologists, since a physically demanding activity such as hunting would require a better intake of oxygen.
Option (D) is the right answer, since this option is out of scope and hence, least supports the conclusion drawn by the archaeologists.