A machine at the Pacific Fruit Company fills boxes withraisins. The labeled weight of the boxes is 9 ounces. The company wants to construct an R-chart to monitor the fill-ing process and make sure the box weights are in control. The quality-control department for the company sampledfive boxes every two hours for three consecutive workingdays. The sample observations are as follows: Construct an R-chart from these data with 3 control lim-its, plot the sample range values, and comment on process control. Samples Box Weights (oz)1 9.06 9.13 8.97 8.85 8.462 8.52 8.61 9.09 9.21 8.953 9.35 8.95 9.20 9.03 8.424 9.17 9.21 9.05 9.01 9.535 9.21 8.87 8.71 9.05 9.356 8.74 8.35 8.50 9.06 8.897 9.00 9.21 9.05 9.23 8.788 9.15 9.20 9.23 9.15 9.069 9.98 8.90 8.81 9.05 9.1310 9.03 9.10 9.26 9.46 8.4711 9.53 9.02 9.11 8.88 8.9212 8.95 9.10 9.00 9.06 8.95

Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter2: Introduction To Spreadsheet Modeling
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A machine at the Pacific Fruit Company fills boxes with
raisins. The labeled weight of the boxes is 9 ounces. The

company wants to construct an R-chart to monitor the fill-
ing process and make sure the box weights are in control.

The quality-control department for the company sampled
five boxes every two hours for three consecutive working
days. The sample observations are as follows:

Construct an R-chart from these data with 3 control lim-
its, plot the sample range values, and comment on process

control.

Samples Box Weights (oz)
1 9.06 9.13 8.97 8.85 8.46
2 8.52 8.61 9.09 9.21 8.95
3 9.35 8.95 9.20 9.03 8.42
4 9.17 9.21 9.05 9.01 9.53
5 9.21 8.87 8.71 9.05 9.35
6 8.74 8.35 8.50 9.06 8.89
7 9.00 9.21 9.05 9.23 8.78
8 9.15 9.20 9.23 9.15 9.06
9 9.98 8.90 8.81 9.05 9.13
10 9.03 9.10 9.26 9.46 8.47
11 9.53 9.02 9.11 8.88 8.92
12 8.95 9.10 9.00 9.06 8.95

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