2. A factory produces metal balls. The weight of the balls are normally distributed with mean 4 grams and standart deviation 0.4 grams. In order to monitor the production system, 16 balls are randomly selected and the average weight of them are noted each day. Average weight of the daily samples (in grams) for 2 weeks are as follows: 3.96, 4.05, 3.81, 3.96, 3.92, 3.78, 3.88, 3.95, 3.69, 3.86, 4.12, 3.82. Draw a control chart and analyze to see if the system is under control, by applying Western Electric rules.

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2. A factory produces metal balls. The weight of the balls are normally distributed with mean 4 grams
and standart deviation 0.4 grams. In order to monitor the production system, 16 balls are randomly
selected and the average weight of them are noted each day. Average weight of the daily samples
(in grams) for 2 weeks are as follows: 3.96, 4.05, 3.81, 3.96, 3.92, 3.78, 3.88, 3.95, 3.69, 3.86, 4.12,
3.82. Draw a control chart and analyze to see if the system is under control, by applying Western
Electric rules.
Transcribed Image Text:2. A factory produces metal balls. The weight of the balls are normally distributed with mean 4 grams and standart deviation 0.4 grams. In order to monitor the production system, 16 balls are randomly selected and the average weight of them are noted each day. Average weight of the daily samples (in grams) for 2 weeks are as follows: 3.96, 4.05, 3.81, 3.96, 3.92, 3.78, 3.88, 3.95, 3.69, 3.86, 4.12, 3.82. Draw a control chart and analyze to see if the system is under control, by applying Western Electric rules.
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