Help me buying laptop uner $850

1. What is your budget?
My budget is under $850.

2. What is the size of the notebook that you are considering?
13 to 14.1 inch.

3. What screen resolution do you want?
The bigger the better, if I could watch 720 sized video that would be awesome. I'd love to use it for work but also entertainment on the train for movies.

4. Do you need a portable or desktop replacement laptop?
Portable I guess.

5. How much battery life do you need?
This is a big issue for me. I need at least 3+ hours of battery life.

6. Do you want to play games with your laptop? If so then please list the games that you want to with the settings that you want for these games. (Low,Medium or High)?
Not much into games but Graphic must be good.

7. What other tasks do you want to do with your laptop? (Photo/Video editing, watching movies, Etc.)
Movie watching, internet, working on program coding and typing papers/taking notes in class.

8. How much storage (H.D.D Capacity) do you need?
The more the better! 200GB+ please.

9. If you are considering specific sites to buy from, please post the links to them.
Nothing specific, newegg is cool.

10. How long do you want to keep your laptop?
For at least 2 years.

11. What kind of Optical drive do you need? DVD ROM/Writer,Bluray ROM/Writer,Etc ?
DVD Writer.

12. Please tell us about the brands that you prefer to buy from them and the brands that you don't like and explain the reasons?
No Issue

13. What country do you live in?
USA

14. Please tell us any additional information if needed.
Processor - At least Core 2 Duo 2.0 Ghz
RAM – At least 2 GB (DDR3)

I appreciate all the help I can get!

I don't much like Sony as a brand, but this looks like a pretty good deal: http://www.newegg.com/Product/Prod [...] 6834117966

Core2 T6600 @ 2.2ghz
4gb DDR3
NVidia GT 230M
320gb HDD
for $849

What about Lenovo Y450 as compare to Dell Studio 14z ?