You will only be given 20 minuets to complete this quest, so hurry and go down to forest 1. You need to get samples of 5 different animals on Ragol. They are labeled as followed.

1. Booma/Gibooma/Gigobooma
2. Savage Wolf/Barbarous Wolf
3. Monest (both monests must be killed)
4. Rag Rappy
5. Hildebear
   (Suggested rooms in red)

In each room there will be a certain type of animal. Kill them to gather their data. Once you collect an animal's data, you don't need to kill anymore of that type of animal. Follow the path to the monest; kill it, then up to the booma room near the top (you don't have to kill the boomas on the way there) and then the rap rappys. Then go into the transporter to forest 2. Follow the room to the wolves and kill them all, then finally the hildebear room. Once you have collected all 5 animal data types enter the transporter to Pioneer 2 (red triangle), or make a pipe. Talk to Alicia in the Hunters Guild to finish your quest.

Check here for enemy counts.
Check here for quest experience counts.