Help with indoor palm

[Andrea]

Hi,

I'm hoping someone here can help me diagnose a problem I'm having with
an indoor palm. 

The plant appears to be generally healthy, but upon close inspection
of the leaves, you can see many tiny (1/16") brown spots. The spots
are actually some sort of waxy/scale deposit which can be rubbed off.
Also, the floor area around the plant is continually sticky from some
form of secretion that is falling from the plant. 

What is the problem and how do I fix it?

Please respond here or by email to
aholmesis.REMOVE.THIS.FOR.SPAM. at hotmail.com

Thank you,

Andrea