Strangely enough, the Ranger hat has no weight, and no value. It can, however be repaired.
If you choose to take the Jury Rigging perk you can use the ranger hat to repair light helmets and headgear like trooper helmets and legion helmets. Additionally, the ranger hat can be used to repair any light armor!
Variants
Ranger brown hat
A brown Ranger hat. It is bent, and does not have the New California Republic insignia. Oddly enough, it is worth 30 caps, unlike the Ranger hat. Can be repaired with Ranger hats and all Cowboy hats.
One is always worn by the unnamed NCR ranger who presents you with the NCR emergency radio.
Ranger grey hat
A grey Ranger hat. Similar to the brown Ranger hat, but darker and with rings on the decorative band. Also worth 30 caps. Can also be repaired with Ranger hats and all Cowboy hats.
A tan Ranger hat. Lighter than than both the brown and grey Ranger hats, as well as less bent. Worth 30 caps as well. Can also be repaired with Ranger hats and all Cowboy hats.
One can be found by a skeleton (presumibly a dead ranger) in the second floor of a destroyed building in Boulder City. (see the page for more information of the exact location). This hat is in very poor condition. The Ranger Holodisk Message can also be found with these skeletons.