408 Fuel gauge not working diagnosis - opinions, pls?

[dwomby]

My gauge has sat unmoving, pointing at E the last few months (prior to that it tended to bounce between E and F). Today I disconnected the two wires on the fuel sender and attached a variable resistor between them. With the ignition on but engine not running, I could move the gauge pointer position quite precisely by varying the resistance (as the fuel sender should be doing!).

Am I right in thinking this means the gauge and the wiring are OK and it is the sender needs attention? Thanks.

David