Is there a way to change the speed a YouTube video runs?

Not through Youtube (as far as I know) but you can download it and change the speed. Firefox has various extensions that allow you to downloading streaming video.

Firefox Extensions can be located at:
https://addons.mozilla.org/

Recommendations anyone?

you can download it and then on vlc (free software that plays almost ANY video or audio file you can through at it) play it back at a slower speed by presing the >> or << buttons.
to download it do this :add the word kick before youtube…like this
www.youtube.com/watch?v=D2kJZOfq7zk ————> www.kickyoutube.com/watch?v=D2kJZOfq7zk

then follow the directions, pick a format (prefferably mp4 ) click go and then right click download and do save file as…

Why would you need to change the speed?

http://www.enounce.net/download/EnounceMySpeed_vB211.exe

That’ll do it. Works with firefox, IE, Chrome, Opera and Safari

@AskBlam , I think you’re right!