YOU SAID:
he lives down the hall
INTO JAPANESE
彼がホールの下に住んでいます。
BACK INTO ENGLISH
He lived down the Hall.
INTO JAPANESE
彼はホールを住んでいた。
BACK INTO ENGLISH
He lived at Hall.
INTO JAPANESE
彼はホールに住んでいた。
BACK INTO ENGLISH
He lived in the Hall.
INTO JAPANESE
彼はホールに住んでいた。
BACK INTO ENGLISH
He lived in the Hall.
That didn't even make that much sense in English.