Is a 6 ms response time sufficient?

I just purchased a Princeton 19" LCD monitor with a 6 ms response time. My question is, is this response time sufficient for most of todays latest generation 3rd person shooter pc games (i.e. FEAR, Half-Life 2, Quake 4, Doom 3, Far Cry, etc). Until now I've had a CRT so this wasn't an issue. But, lately I've been hearing about the importance of the LCD monitor to have a fast response time in order to play these latest games adequately. Thanks for any input.