When you find yourself in a situation, that you are using - without much thought and exclusively - statistical methods based on the normal distribution model, then, please, take in mind the following quote:
“An attempt was made to apply the normal law to many observed distributions, but it was soon found to be unsatisfactory in a majority of problems. This situation gave rise to an active search for more general laws, ...”
Walter A. Shewhart
"Economic Control of Quality of Manufactured Product"
D. van Nostrand Company, Inc.
Published in 1931
Chapter X "Laws basic to Control"
First paragraph following Fig. 47 on page 138
But, hey, the situation simply MUST have changed since 1931. So, it might be better to stick to your routine...