Let me first say that Jebediah is a superb band. What disappointed me with this CD was the inclusion of two sub-par songs by Jebediah. 'Animal' was possibly the weakest single they've released, and the other song is a b-side which has never even appeared on one of their albums. Not a particularly smart way to try and break into the American market.
Jimmy Eat World contributes three typically solid songs. No Sensitivity in particular is quintessential Jimmy Eat World - catchy hook, melodic chorus. But being a fan of both bands, I can honestly say that the best Jeb songs are light-years better than even the best Jimmy Eat World songs..
Another reason why I consider this combination of bands somewhat strange is that Jimmy is a emo-pop band and appeals to a particular demographic. Jebediah is a pop-punk band, but the similarities end there. Jeb is fun, irreverent and frenetic. Think Jimmy Eat World meets Green Day.
If you are interested in checking out more Jebediah stuff, I would highly recommend the 'Slightly Odway' album, and in particular their b-side 'Simple' and the singles 'Jerks of Attention' (get the fast version) and 'Teflon'. That showcases them far better than the uninspiring Jeb songs included on this CD.