PASS vs. FIST: Given that the patient is requiring assistance for bed mobility, sitting balance, and presumably transfers and standing – all of which will likely be goals for her PT plan of care – it makes sense to select an outcome measure that quantifies all of these aspects of mobility. The question asks about the best measure for assessing functional status, not specifically sitting balance.
Also, the PASS is a highly recommended outcome measure by the StrokEDGE task force.
Wheelchair selection: The key here is that left neglect is her primary impairment. Power wheelchairs can be dangerous without appropriate perceptual abilities. The patient is walking into objects on her left without cues – and this would likely be exacerbated in a wheelchair that moves faster than she is probably walking. She requires only supervision for transfers and minimal assistance for gait, so we can assume that she has adequate strength for foot propulsion (and possibly UE propulsion- we aren’t given information about UE function). The patient will be alone for much of the day, so a manual wheelchair with brakes accessible to the patient is a better option than a transport chair.