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Among other responsibilities as a plant operation manager for Oxford Cereals, you are responsible for monitoring the amount in each cereal box filled. Company

 

Among other responsibilities as a plant operation manager for Oxford Cereals, you are responsible for monitoring the amount in each cereal box filled. Company specifications require a mean weight of 368 grams per box. You must adjust the cereal-filling process when the mean fill-weight in boxes' population differs from 368 grams. Adjusting the process requires temporarily shutting down the cereal production line, so you do not want to make unnecessary adjustments. What decision-making method can you use to decide if the cereal-filling process needs to be adjusted. You decide to begin by selecting a random sample of 25 filled boxes and weighing each box. From the weights collected, you compute a sample mean of 372.5 grams. You can assume that the population is normally distributed, with a population standard deviation is equal to 15 grams. a. If you use a level of significance of 0.05. use the p-value approach to help decide whether an adjustment is necessary? b. If you use a level of significance of 0.05, use the confidence interval estimate approach to help decide whether an adjustment is necessary?

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