HEY SCOTTY,

THE COMPUTER HAS BEEN WORKING AWESOME AND BETTER THAN EVER,
AND BACKING UP PERFECT TOO........ UNTIL TODAY  ;~(
THE TIME MACHINE KEEPS TRYING TO BACK UP MY MAC BOOK AND 
EVERY TIME IT TRIES A MESSAGE COMES UP THAT SAYS  'UNABLE TO 
COMPLETE BACKUP. AN ERROR OCCURRED WHILE CREATING THE 
BACKUP DIRECTORY. "  I AM AFRAID TO TRY ANYTHING TO FIX IT
BECAUSE I HAVE NO CLUE WHAT I AM DOING!!!!!  ;~)
DO YOU KNOW A QUICK FIX AND CAN YOU GIVE ME SOME ADVISE ON
WHAT TO DO??????

______

This can be a common error. I don’t think it has anything to do with the strength of your network this time. There are several known causes to this issue. Try the following.

1. power off both the airport time capsule router and and computer then back on again.
2. run all your updates on the computer reporting the error by going to “software update” under the black apple in the top left hand corner of your screen.
3. This can be caused by being logged into a user other than the admin. So restart the machine and log in to your parent admin and see if it completes.
4. If none of those resolve the issue then you can also do a repair permissions on your computer to help it run more healthy. Directions on how to do that can be found here:

About Disk Utility's Repair Disk Permissions feature