OPERATIONS AND SUPPLY CHAIN MANAGEMENT
9th Edition
ISBN: 9781119448037
Author: Russell
Publisher: WILEY
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Chapter 3, Problem 21P
Summary Introduction
To determine: The process control chart and check whether if it in control or not.
Introduction: Control charts may also be termed as Shewhart charts as well as process-behavior charts. It is comes under one of a statistical tools which make an analysis to determine whether the process lies in control or not. Control charts act as a graphically device for making interpretations of statistical process. Upper and lower control limits with respect to data, are set for this purpose.
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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
At Quick Car Wash, the wash process is advertised to take less than
8
minutes. Consequently, management has set a target average of
440
seconds for the wash process. Suppose the average range for a sample of
9
cars is
10
seconds. Use the accompanying table to establish control limits for sample means and ranges for the car wash process.
Factors for calculating three-sigma limits for the
x-chart
and R-chart
Size of Sample (n)
Factor for UCL and LCL for
x-chart
(A2)
Factor for LCL for R-Chart
(D3)
Factor for UCL for R-Chart
(D4)
2
1.880
0
3.267
3
1.023
0
2.575
4
0.729
0
2.282
5
0.577
0
2.115
6
0.483
0
2.004
7
0.419
0.076
1.924
8
0.373
0.136
1.864
9
0.337
0.184
1.816
10
0.308
0.223
Part 2
The
UCLR
equals
enter your response here
seconds and the
LCLR
equals
enter your response here
seconds. (Enter your responses rounded to two decimal places.)
The Road King Tire Company in Birmingham wants to moni-tor the quality of the tires it manufactures. Each day the com-pany quality-control manager takes a sample of 100 tires, tests
them, and determines the number of defective tires. The re-sults of 20 samples have been recorded as follows:Construct a p-chart for this process using 2 limits and for each of the last 30 weekdays are shown as follows:describe the variation in the process.
Sample Defectives Sample Defectives1 14 11 182 12 12 103 9 13 194 10 14 205 11 15 176 7 16 187 8 17 188 14 18 229 16 19 2410 17 20 23
Chapter 3 Solutions
OPERATIONS AND SUPPLY CHAIN MANAGEMENT
Ch. 3.S - Prob. 1QCh. 3.S - Prob. 2QCh. 3.S - Prob. 3QCh. 3.S - Prob. 4QCh. 3.S - Prob. 5QCh. 3.S - Prob. 6QCh. 3.S - Prob. 7QCh. 3.S - The Great Lakes Company, a grocery store chain,...Ch. 3.S - Prob. 2PCh. 3.S - Prob. 3P
Ch. 3.S - The Fast Break Computer Company assembles personal...Ch. 3.S - Prob. 5PCh. 3 - Using Sampling and Statistics to Analyze...Ch. 3 - Prob. 2.1ASCCh. 3 - Prob. 3.1ASCCh. 3 - Prob. 4.1ASCCh. 3 - Prob. 5.1ASCCh. 3 - Prob. 1QCh. 3 - Prob. 2QCh. 3 - Prob. 3QCh. 3 - Prob. 4QCh. 3 - Prob. 5QCh. 3 - Prob. 6QCh. 3 - Prob. 7QCh. 3 - Prob. 8QCh. 3 - Prob. 9QCh. 3 - Prob. 10QCh. 3 - Prob. 11QCh. 3 - Prob. 1PCh. 3 - Prob. 2PCh. 3 - Prob. 3PCh. 3 - Prob. 4PCh. 3 - Prob. 5PCh. 3 - Prob. 6PCh. 3 - Prob. 7PCh. 3 - Prob. 8PCh. 3 - Prob. 9PCh. 3 - Prob. 10PCh. 3 - Prob. 11PCh. 3 - Prob. 12PCh. 3 - Prob. 13PCh. 3 - Prob. 14PCh. 3 - Prob. 15PCh. 3 - Prob. 16PCh. 3 - Prob. 17PCh. 3 - Prob. 18PCh. 3 - Prob. 20PCh. 3 - Prob. 21PCh. 3 - Prob. 22PCh. 3 - Prob. 23PCh. 3 - Prob. 24PCh. 3 - Prob. 25PCh. 3 - Prob. 26PCh. 3 - Prob. 27PCh. 3 - Prob. 28PCh. 3 - Prob. 29PCh. 3 - Prob. 30PCh. 3 - Prob. 32PCh. 3 - Prob. 33PCh. 3 - Prob. 34PCh. 3 - Prob. 36PCh. 3 - Prob. 37PCh. 3 - Prob. 38PCh. 3 - Prob. 39PCh. 3 - Prob. 40PCh. 3 - Elon Corporation manufactures parts for an...Ch. 3 - Prob. 42PCh. 3 - Prob. 44PCh. 3 - Prob. 45PCh. 3 - Prob. 46PCh. 3 - Prob. 47PCh. 3 - Metropolitan General Hospital is a city-owned...Ch. 3 - Prob. 50PCh. 3 - Prob. 51PCh. 3 - The Shuler Motor Mile is a high-volume discount...Ch. 3 - Prob. 1.1CPCh. 3 - Prob. 2.1CPCh. 3 - Improving Service Time at Daves Burgers Daves...
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