بسم الله الرحمن الرحيم
(Fatwa: 617/586/M=5/1438)
It is correct to offer full salah while staying at home for six days in the question mentioned above. If you stay in the hostel for 13 days then you shall be musafir and would offer salah with qasr.
Allah knows Best!
Darul Ifta,
Darul Uloom Deoband
