(d) Given the required box weight specifications, is the current system ca- pable of 60 quality? (the standard deviation was measured to be a = 1.2731) (e) A production engineer believes that a new...

Extracted text: (d) Given the required box weight specifications, is the current system ca- pable of 60 quality? (the standard deviation was measured to be a = 1.2731) (e) A production engineer believes that a new system will reduce the box weight standard deviation by 45%. Assuming that production will re- main under control with the same R and , should the company imple- ment the proposed system?


Extracted text: 4. A producer of cereal measures part of its product quality by measuring box weight. It has established that each box should be 475 grams +5 grams. When the production was known to be under control, it obtained samples of 5 boxes and measured their weight. The sample range R and sample mean I were obtained for each sample. It then calculated the average of the ranges as R= 5.5 grams and the average of the sample means as I = 474.36 grams. (a) Calculate the UCLR and the LCLR. (b) Calculate the UCL; and the LCL2. (c) This week, the company obtained 25 samples of box weights, again us- ing 5 boxes per sample. The measurements were: criteria measurement minimum R| 0.6 grams maximum R 9.8 grams minimum i 472.84 grams maximum i 476.12 grams Is the system still under control?