1. You are the manager of the packaging process at a cereal manufacturing plant. You want to determine if the cereal filling process is in control. The process requires no corrective action if the correct amount of cereal per box is 368 grams with a process standard deviation is 15 . To study this, you decide to take a random sample of 25 boxes, weigh each one, and then evaluate the difference between the sample statistic and the hypothesized population parameter by comparing the mean weight from the sample to the expected mean of 368 grams specified by the company. The sample mean is 372.5. Is there evidence that the weight is different from 368 grams?