Two separate issues.
1. Where is your permanent address? If Utah, then you did not live in another state.
However, if you live in state A, but you temporarily work in state B (staying at a short term apartment, hotel, hostel, etc.) then you generally owe income tax to state B for the income earned while working in state B, plus you owe income tax on all your world-wide income to state A where your permanent address is located. State A will give a credit for taxes paid to state B to offset the problem of double taxation.
However in this case, state B (Washington) does not have a state income tax, you can ignore this situation too.
