You can check the Local LAN connection Ping by,
Go to start->run->cmd prompt->type ping youripaddress or pING website name...
You can check the Website like Google,Yahoo etc Ping using the site
Whoisxy.com i tested there and My results is
Pinging
www.l.google.com [74.125.45.99] with 32 bytes of data:
Reply from 74.125.45.99: bytes=32 time=56ms TTL=53
Reply from 74.125.45.99: bytes=32 time=56ms TTL=53
Reply from 74.125.45.99: bytes=32 time=55ms TTL=53
Reply from 74.125.45.99: bytes=32 time=56ms TTL=53
Ping statistics for 74.125.45.99:
Packets: Sent = 4, Received = 4, Lost = 0 (0% loss),
Approximate round trip times in milli-seconds:
Minimum = 55ms, Maximum = 56ms, Average = 55ms