Question: Questions 1. Is the process in control? 2. Determine what weight the filler head is likely set to. 3. If the Weights and Measures Act

Questions
1. Is the process in control?
2. Determine what weight the filler head is likely set to.
3. If the Weights and Measures Act dictates that the tolerance for weight of a product of approximately 454 grams is 2 grams, what is the probability that an inspector will find a legally defined underweight box (i.e., weighing less than 452 grams)?
4. Has the filler head been set too conservatively? Discuss.
The plant manager of a. cereal manufacturer is wondering if the company could save some cereal by slightly lowering the cereal content of each box. Studying a major product, a 454 gram (net weight) ready-to-eat cereal, he discovers that four boxes are routinely taken from the filling machine every 10 minutes and weighed. Data for approximately 2.5 horn's of inspection are shown below.

Samples 1 2 3 4 5678910 11 12 13 14 15 455.5 4560 456.0 452.5 456.0 452.0 4575 4545 450.0 453.0 455.0 458.0 457 5 458.0 460.0 460.0 4555 453.D 455.O 456.0 455.0 4555 453.D 4540 455.0 57.5 456.0 4565 453D 455.5 456.5 4560 454.0 453.0 455.0 453.0 457.0 453.0 453.0 456.0 450.5 4545 453.0 456.5 454.5 456.5 4560 4550 455 O 454.5 456.0 452.0 458,0 455.0 456.5 456.5 4540 4555 456.0 457.0

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