My understanding of the distribution curves is very basic but I do have a couple of somewhat generic questions. I looked up a number of definitions but have had a hard time finding these specific answers: - Is there an agreed on minimum number of samples that one needs to take to deem a result to be viable? Or does the result more depend on the data we get? - Additionally, is there a certain "percentile" value of how far the standard deviation is from the mean (i.e. how "far" it is from it, or how low its value is), that would conclude that the mean value is "very likely" to happen? What I am really aiming for with these questions is: - If in science we are to declare something a "fact", how "precise" does the distribution curve have to be in order for us to declare it a fact? Does it have to occur 100% times? Or is there some "window" of probability that we take into account and what is that? Apologies if the questions is sloppy or if it makes no sense. Thanks for any feedback!