At EM Industries a certain machine fills 2-pound (32 ounces) boxes with cereal. The machine’s actual fill amount for the 2-pound box is found to have an average of 31.9 ounces and standard deviation of 0.40 ounces. If a box has at least 31.5 ounces of cereal, it considered “acceptable” by the government office of food product regulation. If a box has more than 32.5 ounces of cereal, it is considered “over-filled” by operations managers at EM Industries. a) What is the probability that a randomly filled box is “acceptable”? What is the probability that a randomly selected box is both, at the same time, “acceptable” and NOT “over-filled”? b) To monitor the current performance of the box filling process, Mo Nerdstat, quality control manager, decides to measure 20 boxes an hour and track this average performance measure over time. Develop 3-sigma limits for the current average process and draw the associated averages control chart.
At EM Industries a certain machine fills 2-pound (32 ounces) boxes with cereal. The machine’s actual fill amount for the 2-pound box is found to have an average of 31.9 ounces and standard deviation of 0.40 ounces. If a box has at least 31.5 ounces of cereal, it considered “acceptable” by the government office of food product regulation. If a box has more than 32.5 ounces of cereal, it is considered “over-filled” by operations managers at EM Industries.
a) What is the
b) To monitor the current performance of the box filling process, Mo Nerdstat, quality control manager, decides to measure 20 boxes an hour and track this average performance measure over time. Develop 3-sigma limits for the current average process and draw the associated averages control chart.
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