OK here.. I'll sum up ALL the questions in this thread by posting stats of all the ammys:
Saphire Amulet --> Amulet of Magic
Code:
Attack Defense
Stab +0 +0
Slash +0 +0
Crush +0 +0
Magic +10 +0
Range +0 +0
Other Bonuses
Strength +0
Prayer +0
Emerald Amulet --> Amulet of Defense
Code:
Attack Defense
Stab +0 +7
Slash +0 +7
Crush +0 +7
Magic +0 +7
Range +0 +7
Other Bonuses
Strength +0
Prayer +0
Ruby Amulet --> Amulet of Strength
Code:
Attack Defense
Stab +0 +0
Slash +0 +0
Crush +0 +0
Magic +0 +0
Range +0 +0
Other Bonuses
Strength +10
Prayer +0
Diamond Amulet --> Amulet of Power
Code:
Attack Defense
Stab +6 +6
Slash +6 +6
Crush +6 +6
Magic +6 +6
Range +6 +6
Other Bonuses
Strength +6
Prayer +1
Dragonstone Amulet --> Amulet of Glory
Code:
Attack Defense
Stab +10 +6
Slash +10 +6
Crush +10 +6
Magic +10 +6
Range +10 +6
Other Bonuses
Strength +6
Prayer +3
ADDED EFFECT: More Gems While Mining When Charged
and teleport with charges on Ammy
The only thing the ring of wealth does is give you more of a chance of getting rare items from NPC's.
Oh and to answer the original question it does not make you hit faster... that depends on the type of weapon you are using.
The power ammy increases your strength bonus which would make you hit harder, increases attack bonuses which would increase your accuracy, and increases your defense which would decrease the chance of being hit by someone.