SImple question about sound waves but need a good reason

[anarchy.spirit]

Sound waves and frequency

Question:
Compare between the speed of high frequency (short wavelength) sounds to low frequency (long wavelength) sounds.

In my opinion, the answer is that frequency affects directly to the velocity of the sound.
Therefore, high frequency sound have high velocity.
Can someone post if this is right or not? If not, can anyone provide the correct answer? Thanks in advance.

 

[Tide]

It is non sequitur to say "the frequency directly affects the speed of sound therefore high frequency waves travel faster."

You will need to come up with a physical reason why the wavelength would affect the speed of sound. Also, does it make a difference whether you're talking about phase velocity as opposed to group velocity?