Question

The quality control department for cola inc maintains records regarding the amount of cola in its jumbo bottle. The actual amount of cola in each bottle is critical but varies a small amount from one bottle to the next. Cola inc. does not wish to underfill the bottles because it will have a problem with truth in labelling. However, it cannot overfill each bottle because it would be giving cola away, hence reducing its profits. Its records indicate that the amount of cola follows a normal probability distribution. The mean amount per bottle is IL and the population standard deviation is 12.8 milliliters. At Sa.m otdya, the quality control technician randomly selected 16 bottles from the filling line. The mean amount of cola contained in the bottles is 1.006L . is this an unlikely result? Is it likely the process is putting too much cola in the bottles.

Answer 1

Answer:

Given,

z = (x - u)/(s/sqrt(n))

substitute values

= (1.006 - 1)/(0.0128/sqrt(16))

= 1.875

P(z > 1.875) = 0.0303964 [since from z table]

= 0.0304

Yes, this is an unlikely result and process is putting too much cola in the bottles.