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Mathematics, 25.03.2021 03:20 dontcareanyonemo
Organic Grains LLC uses statistical process control to ensure that its health-conscious, low-fat, multigrain sandwich loaves have the proper weight. Based on a previously stable and in-control process, the control limits of the - and R-charts are:
UCL = 5.70, LCL = 5.34
UCLR = 1.219, LCLR = 0
Over the past few days, they have taken five random samples of four loaves each and have found the following:
Sample Net Weight
Loaf #1 Loaf #2 Loaf #3 Loaf #4
1 6.1 5.8 6.0 6.1
2 5.8 5.8 5.5 5.8
3 5.0 4.8 5.1 5.0
4 5.5 5.9 5.7 5.9
5 5.2 5.1 5.2 4.9
A) Based on X bar chart, is one or more samples beyond the control limit?
1) Yes.
2) No
B) Based on R-chart, is one or more sample beyond the control limit?
1) Yes.
2) No.
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