Completely "Mute" my Android Phone?

I have seen the Question: https://android.stackexchange.com/questions/13352/is-there-a-one-click-widget-to-make-my-phone-completely-silent and this is not a Duplicate Question. In my, Samsung Galaxy Y phone, when I completely reduce my volume, it goes to the "Vibration" mode. Turning the volume down again after the "Vibration" mode appears has no effect in my phone. I have look around and found no option to mute at all. My Question is whether is it possible to completely mute an Android phone without downloading/installing any extra app? Doing everything mentioned in: https://android.stackexchange.com/questions/8573/what-is-the-fastest-way-to-turn-the-phone-into-silent-mode?rq=1 puts my phone to "Vibration". I can't believe that there can exist a phone in today's world without such a basic feature.