Sorry but I don't expect something brand new to need replacement parts less than a week after having it. It was new the correct thing to do would be replace it with a new one or refund then fix my old one and sell it as a refurb, which is what they're going to end up doing anyway. I don't know who pissed in your Fruit Loops but you don't have to come in here and be an ass about it.
imagine if that was a car. Customer: "I bought my car last week and it already doesn't turn on." Dealership: "Sir, we'll send someone over to replace your fuel filter, transmission, and battery." i'd expect a brand new replacement too.
Watch this carefully. Many times, Dell will replace your "new" system with a refurb. And, of course, some of these refurb systems can have problems (the vast majority do not. In fact, many of the "refurb" systems are just new systems that were returned unopened but cannot be sold as "new"). Check the service tag and labelling on the bottom of the replacement system. Test every single component as much as you can when you get it. If you find anything that you are even remotely concerned about, call cust. service and ask for a NEW system. EDIT: Just wanted to add, Dell is NOT the only manufacturer that does this. It's pretty common among computer makers.
This! He is dead on check it very good, I think there is some program that use to be free I think at snapfiles or cnet that can run stress test and check your computer. Good luck.