Organic Grains uses statistical process control to ensure that its health-consci

Question

Organic Grains 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 x- and R- charts are: UCL=5.97, LCL=5.61 UCLr=1.038 LCLr=0 Over the past few days, they have taken five random samples of four loaves each and have found the following:

5.7

Based on the X-chart, is one or more samples beyond the control limits?

Sample Loaf 1 Loaf 2 Loaf 3 Loaf 4 1 6.4 6.3 6.3 6.2 2 6.1 5.8 5.7 5.6 3 5.7 5.7 5.7 5.6 4 6.1 6.1 5.9

5.7

5 5.3 5.4 5.5 5.2

Explanation / Answer

YES, SAMPLE 1,2,4,5 are beyond control limits

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