Thanks everyone.
I would have to change my settings for Do Not Disturb to silence the phone completely. Right now my settings allow calls from contacts. That would not work when I am in a hurry.
I tried pulling down the Quick Settings and pressing the Sound icon until it changed to Mute. Yes, it passed through Vibrate on the way, but you really can't hear it vibrate like you would with the older phones.
Someone else said you can press the Power button and quickly press the Volume button before the power window goes away. That works but it takes 2 hands and is awkward.
Samsung, please put a Mute icon on the lock screen or enable one of the 3 physical buttons to immediately mute the phone when locked. Like Blackberry, remember? This is not an insignificant problem for most users.
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