A package-filling device is set to fill cereal boxes with a (mean) weight of 20.10 oz. of cereal per box. Assume a normal distribution for the fills. The production supervisor suspects that the machine may be over filling the boxes, thereby increasing the material costs. A random sample of 25 boxes is weighed in order to test the claim that the machine is operating, as it should, against the alternative that it is overfilling. The sample mean and standard deviation are 20.13 oz. and 0.05 oz., respectively. Answer the next four questions based on this information. Using = .01,

We can conclude, at alpha=0.05, that the machine is overfilling [Cereal Package Filling].

A. True

B. False