Question: The Quality Assurance Department for Virgin Cola-UK maintains records regarding the amount of cola in their "Jumbo" bottle. The actual amount of cola in each bottle is critical, but varies a small amount from one bottle to the next.

Virgin Cola does not wish to under-fill the bottles, because they will have a problem with truth in labeling. On the other hand, they cannot overfill each bottle, because they would be giving cola away and thereby reducing their profits.

The company records indicate that the amount of cola follows the normal probability distribution. The mean amount per bottle is 31.2 ounces and the population standard deviation is 0.4 ounces.

At 08:00 today their quality technician David Beckham randomly selected 16 bottles from the filling line. The mean amount of cola contained in the bottles is 31.38 ounces.

Using a 95% confidence interval determine if it likely that the filling process is putting too much cola into the bottles today? Explain your answer.