To acquire a larger N would mean recruiting more participants, which would require either compensation/extra credit or rely on people volunteering ~1 hour of their time. Likewise, collecting that data would require time and money. It is an time/resource issue with human research. You can require a small N and get some results or require a large N and not have enough funding to support it.
Also note, what is a "large N"? There is no set in stone amount and I've even seen reviewers say a sample size of 10,000 is too small.
That depends on the size of the population being sampled from, the margin of error, and the confidence level.
For a huge effect like the one shown in the study, where one side performed 2x as well as the other, a sample size of 48 is more than large enough to say that the result is statistically significant. If there was as small effect, that wouldn't be the case.
Put it this way. You want to find whether people from California prefer Taco Bell or Pizza Hut, so you randomly sample 100 people. If all 100 people say Taco Bell, then you can be reasonably confident that more people from California prefer Taco Bell. Because if at least 51% of your population preferred Pizza Hut, the odds of not getting one of those people in your sample are minuscule (the odds of getting all Taco Bell people in your sample if 49% of the population prefers Taco Bell is 0.49^100).
If 51 prefer Taco Bell and 49 prefer Pizza Hut, your confidence level is too low to be useful--you need a larger sample size.
However, research also has issues with reproducibility. No one will publish work that was simply a repeat of someone else work. Researchers have to twist or add something. It is a discussed issue, but no one in power has made attempts to rectify it.
Depends on the size of the effect you wish to measure, and the underlying variance. They got a massive effect, which to me, seems improbable, and I half suspect the randomization is at play.
I think it'd be pretty simple and cheap to replicate the things we care about in this study. All you really need is a whiteboard, some markers, a small room, a few interviewers and a candidate pool. The eyetracking getup really only gets in the way of that and seemed more like a problem in search of a solution.
Not when the effect is large. 48 people is fine when there is a 2x difference.