The verb want can be used in several ways. According to the Cambridge Dictionary, the relevant options for these contexts are
I want some chocolate [+ noun]
I want to eat [+ to + verb infinitive]
I want you to eat [+ object + to + verb infinitive]
I want it sent [+object + past participle]
Thus, each student defines how he or she wants his or her stay at the residence hall to be like and adapts it to his or her needs
The object is stay, which in this context is a noun, so no to is required.
She wants revenge
The object is revenge which can only be a noun, so no to is required. The corresponding verb is avenge.
She wants me dead
The object is me, and dead is a participle that the speaker wants invoked on the object. No to is required for a past participle.
She wants me to be dead
The verb be is a verb infinitive and does require to. This is not a natural sentence, and most speakers would use the participle version. It would be completely natural if the participle were replaced by a normal adjective:
She wants me to be nice