What are moderators allowed to do?

What are moderators allowed to do and when do they cross the line and go beyond that?

If a moderator behaves innappropriately what recourse does a member of the community have?

Can a moderator be banned from the project?

You can email the Moderator's list and your situation will be reviewed by a diverse group of Mods with differing views and philosophies. If the Mods cannot come to a consensus, the issue can be elevated directly to the Moderator Administrator (known as the Anonymous Admin or AnonAdmin). You can also email the modlist and request it be brought directly to the AnonAdmin for review.
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On every post you write--on the left side it says:

The moderators may be contacted at seti_moderators @ ssl . berkeley . edu

Ozz's suggestions are the proper procedure for addressing concerns.
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I will.