Operations and Supply Chain Management, 9th Edition WileyPLUS Registration Card + Loose-leaf Print Companion
9th Edition
ISBN: 9781119371618
Author: Roberta S. Russell
Publisher: Wiley (WileyPLUS Products)
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Question
Chapter 3, Problem 46P
Summary Introduction
To draw: The an x bar chart to be used in conjunction with an R-chart.
Introduction: Statistical process control is a statistical technique used to analyze the functioning of production process. It helps to determine the factors that leads to poor quality in the production process. It also determines the measures that have to be taken in order to correct the production process.
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The Road King Tire Company in Birmingham wants to monitor the quality of the tires it manufactures. Each day the company quality-control manager takes a sample of 100 tires, tests them, and determines the number of defective tires. The results of 20 samples have been recorded as follows:
Sample
Number of Defectives
Sample
Number of Defectives
1
14
11
18
2
12
12
10
3
9
13
19
4
10
14
20
5
11
15
17
6
7
16
18
7
8
17
18
8
14
18
22
9
16
19
24
10
17
20
23
Construct a P -chart for this process using 2q limits and describe the variation in the process.
Note:-
Do not provide handwritten solution. Maintain accuracy and quality in your answer. Take care of plagiarism.
Answer completely.
You will get up vote for sure.
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 x- and R-charts are:
UCL-4.86, LCL- = 4.52,
UCLR=1.344, LCLR = 0.
Over the past few days, they have taken five random samples of four loaves each and have found the following:
Based on the x-chart, is one or more samples beyond the control limits?
Sample
1
2
3
4
5
Yes
No
Loaf # 1
4.8
4.4
4.5
4.6
5.0
Net Weight
Loaf # 2
4.7
4.8
4.5
4.9
4.8
Loaf # 3
5.0
4.7
4.9
4.7
4.7
Loaf # 4
4.7
4.8
4.6
4.5
4.6
6 of 11
5
3. The manager of a building-supplies company randomly samples incoming lumber to see whether
it meets quality specifications. From each shipment, 100 pieces of 2 x 4 lumber are inspected and
judged according to whether they are first (acceptable) or second (defective) grade. The
proportions of second-grade 2 x 4s recorded for 30 shipments were as follows:
a. Construct a control chart for the proportion of second-grade 2 x 4s in samples of 100 pieces of
lumber.
b. Explain how the control chart can be of use to the manager of the building supplies company.
Shipment
No.
Proportion
of second
grade
1
0.14
2
0.22
3
0.21
4
0.15
0.19
0.26
7
0.18
8
0.22
9
0.23
10
0.21
11
0.2
12
0.14
13
0.25
14
0.2
15
0.19
16
0.18
17
0.22
18
0.22
19
0.17
20
0.21
21
0.21
22
0.13
23
0.15
24
0.2
25
0.23
26
0.23
27
0.12
28
0.19
29
0.19
30
0.26
Chapter 3 Solutions
Operations and Supply Chain Management, 9th Edition WileyPLUS Registration Card + Loose-leaf Print Companion
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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