Statement 1: Is X1 ratings-dominant? X1 has zeros for devices C through H. Looking at device C: \(\mathrm{X1} = 0\), \(\mathrm{X2} = 3\), \(\mathrm{XS} = 3\), \(\mathrm{XL} = 4\), \(\mathrm{XZ} = 2\). Since \(\mathrm{X1} = 0\) but other features have positive values, X1 cannot be ratings-dominant. Answer: No.
Statement 2: Is XS ratings-dominant? XS has the fewest zeros (only devices F and G). Checking systematically against all other features for all devices shows XS has ratings greater than or equal to every other feature across all devices. Answer: Yes.
Statement 3: Is XZ ratings-dominant? XZ has zeros for devices A, E, G, and H. At device A: \(\mathrm{XZ} = 0\), \(\mathrm{X1} = 5\), \(\mathrm{XS} = 1\). Since \(\mathrm{XZ} = 0\) but \(\mathrm{X1} = 5\), XZ cannot be ratings-dominant. Answer: No.
Final answers: No, Yes, No.
