What does switching back of amp from 8 to 4 ohms do?

Speakers normally never will have stable impedance, but the rule is far simpler. If speaker impedance chart does not go below 8 ohms, then use 8-ohm binding posts. Otherwise use 4-ohm binding posts. 

If you change switch for 8-ohm speakers the following will happen:

If your speakers are 8- ohm you may lose a-bit of the volume, but you'll gain dynamic headroom and clarity. If your speakers are below 8-ohms, you may lose a lot of low-frequency resolution and larger loss of volume.

Czarivey, Great answer but the very last sentence confused me.

I was told changing to four ohms, since my speakers explore below eight ohms, is helpful when the lower range is used by the speakers. Not sure how the speaker is wired within the speaker to accommodate four and eight ohm settings. I guess it's a design way for channeling more power to the lower end of frequency range which Impacts sound level. Using McIntosh amplifier with transformer.

Inside speaker is inductive coil that expands and contracts when voltage is applied to move the driver. The DC resistance of voice coil is extremely low almost to the point of short circuit. Therefore lower frequencies require a lot larger power.

Thank you again
Fascinating response, with the DC resistance of the voice coil being low I would expect lower power needed.  Why is more power needed? 
 

All wrong answers so far. Loudspeaker impedance is never one raw number, the word we use is nominal impedance. In most cases you could use the 8 ohm taps or the 4 ohms taps. Most of us try both and use the one we think sounds best. There are exceptions with loudspeakers that have very low impedance points. If you have a loudspeaker that dips well below 4 ohms, you'll pretty much want to use the 4 ohms taps but that question seldom comes up because it's rare to see hard to drive loudspeakers hooked up in a multi-channel system.