Your assumption that n must be greater than 30 is not sound statistics. If the researcher does good, high quality research, then they will calculate their power (beta) prior to completing the research. With that, they can calculate an n that will yield appropriate statistics with the least amount of subjects necessary. In some research studies, an n of 15 is more than sufficient with a power of .8. That number is usually considered ideal for research. Please see this: http://en.wikipedia.org/wiki/Statistical_power
Keep in mind that a power of .8 is pretty darn high, and that sample size requirements can jump considerably when you get to the more modest .5 and .3-ish ranges. Other factors come into play regarding sample size as well, although yes, a priori power calculations can be a good way to give you a ballpark of the figure for which you should be aiming, and are necessary when the recruitment and/or assessment process is going to be an expensive and time-consuming one. Neuroimaging studies are one area where this sort of sample size limitation is very common/rampant.
Although yeah, statistics somewhat aside...an N of 15 people is still only 15 people. That's going to restrict your generalizations no matter how you look at it (after all, to how many different populations could that 15-person sample truly be similar?)
