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While big, these wasps are not dangerous to people. The males have no stingers, and the females are not aggressive.
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(photo from Prof. Chuck Holliday's Cicada Killer Page.)
These wasps breed near sandy areas. The females dig holes and bury cicada bugs for the young wasps to feed on underground. This leaves small mounds of sand you can see when walking by.
There are other web pages about these critters:
More photos and info at "What's That Bug"
and at Dr. Zachary Huang's Cyberbee site.