Yes, INFERENCE is a Scrabble word!

Letter values in Scrabble US: I 1, N 1, F 4, E 1, R 1, E 1, N 1, C 3, E 1.

Is it a valid word?

INFERENCE is a valid word in the official Scrabble dictionary (US), the UK Scrabble Dictionary and Words with Friends (ENABLE).

the reasoning involved in drawing a conclusion or making a logical judgment on the basis of circumstantial evidence and prior conclusions rather than on the basis of direct observation