How do justify using SAMPLING DISTRIBUTION OF THE SAMPLE MEAN only for below question:

The Quality AssuranceDepartmentfor Cool Cola, Inc., maintains records regarding the amount of cola in its largebottle. The actual amount of cola in each bottle is critical, but varies a small amount from one bottle to the next. Cool Cola, Inc. does not want to under fill the bottles because it will have a problem with truth in labeling. On the other hand, it cannot over fill the bottles because it would be giving cola away, hence reducing profits.

Cool Cola, Inc.'s records indicate that the amount of cola filledfollows a normal distribution with mean 935 ml and standard deviation 11.8ml. This morning, the quality technician randomly selected 16 bottles from the filling line. The mean amount of cola filled in those bottles is 941.4 ml. Is this an unlikely (rare) result? Does this result warrant him to take any course of action? Discuss and justify in no more than 10 sentences.

Please don't use hypothesis in this solution please.