How to sum a raster within polygon boundaries?

Discussion created by gigamosh57 on Jul 15, 2010
Latest reply on Jul 15, 2010 by gigamosh57
I am pretty new to Spatial Analyst so I don't know the name of the function I am looking for.  I have a set of basin boundaries and a raster of precipitation data.  I want to sum the values of the raster set that fall within the boundaries of each basin and assign those values as attributes to the basin shapefile.

How do I do this?