I just changed the password on a school-related web site.  After completing the change successfully, the next page showed what the password was changed to.  Can I conclude from this that the password is not being stored only as a hash?
No, you cannot conclude that.

The password can be hashed on the server-side only, which implies that the password is sent in plain text to the server and stored in a variable. Then, nothing stops the Web application from displaying the sent password to the user, in the case where the very same script that has received the password is giving you the feedback about the password change.

On the other hand, if a whole other module gives you the password in plain text (perhaps a password recovery function), then you could conclude that it is not hashed.

Edit: To avoid any confusion, in this case "plain text" does not refer to SSL in any way, it simply suggests that the password is not sent pre-hashed to the server.
