Name the device specifically designed for measuring barometric or atmospheric pressure.

The correct option is Barometer.

A barometer is a scientific instrument specifically designed to measure atmospheric pressure, which is also known as barometric pressure. The atmosphere exerts a force on the Earth's surface due to gravity acting on the air's mass, and measuring changes in this pressure is essential for weather forecasting and meteorology.

To better understand why the other options are incorrect, here is a summary of their functions:
- Hygrometer: Used to measure humidity or the amount of moisture present in the air.
- Ammeter: Used to measure electrical current flowing through a circuit.
- Altimeter: Used to measure altitude or height above a reference point, such as sea level.