To troubleshoot a faulty thermostat, first, check the thermostat’s setpoint and ambient temperature readings to ensure they are accurate. Verify that the thermostat is receiving power and that the sensor is clean and free from obstruction. Check for loose connections or corrosion on the wiring and terminals. If the issue persists, try replacing the thermostat’s battery or recalibrating the device. In some cases, it may be necessary to replace the thermostat entirely.