Here is how the "Join Wi-Fi network" config box should be set up for a Chromebook. 


EAP Method
 PEAP
Phase 2 authentification
 MSCHAPv2
Server CA certificate
 Do not check
Subject Match
 leave blank
User Certificate
 leave as: None Installed
Identity
 lightspeed password
Password
 lightspeed password
Anonymous identity
 leave blank