A producer of cereal measures part of its product quality by measurin eight. It has established that each box should be 475 grams £5 gram the production was known to be under control, it obtained samples s and measured their weight. The sample range R and sample meam -btained for each sample. It then calculated the average of the rang -55 orams and tho

Algebra: Structure And Method, Book 1
(REV)00th Edition
ISBN:9780395977224
Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Chapter7: Applying Fractions
Section7.2: Proportions
Problem 47WE
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(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?
Transcribed Image 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?
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?
Transcribed Image 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?
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