Production and Operations Analysis, Seventh Edition
7th Edition
ISBN: 9781478623069
Author: Steven Nahmias, Tava Lennon Olsen
Publisher: Waveland Press, Inc.
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Chapter 12, Problem 54AP
a
Summary Introduction
Interpretation: The estimate of
Concept Introduction: Poisson distribution is the probability distribution of discrete random variable series in which frequency of outcomes is calculated in a given period of time.
Standard deviation is the numerical expression of showing the error from the average.
b
Summary Introduction
Interpretation: Values of UCL and LCL.
Concept Introduction:Control charts are used to measure the effectiveness of the process determining the average value and control limits of the process. The Upper Control Limit (UCL) is the larger value and the Lower Control limit (LCL) is the smaller value of the sample
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A quality control manager in an Omani bottling company takes 5 samples for quality control purposes. These sample mean (X- bar) are; 8.51, 8.18, 11.07, 10.03, and 10.23 respectively. Additionally, the range values for these 5 samples are; 3.33, 2.61, 3.39, 4.39, and 6.49. If the lower control limit for X- bar chart is 7.664, what should be the most appropriate sample size? O a. 3 O b. None is correct O C. 4 O d. 6 O e. 5
Construct a 3-sigma X-bar chart for the length in centimeters of a part from the following tabble . What is the upper controt limit?
sample observation 1 observation 2 observation 3 observation 4
1 0.486 0.499 0.493 0.511
2 0.499 0.506 0.516 0.494
3 0.496 0.5 0.515 0.488
4 0.495 0.506 0.483 0.487
5 0.472 0.502 0.526 0.469
6 0.473 0.495 0.507 0.493
7 0.495 0.512 0.49 0.471
8 0.525 0.501…
The following table contains the measurements of the key length dimension from a fuel injector. These samples of size five were taken at one-hour intervals. Use three-sigma control limits. Use Exhibit 10.13.
SAMPLE NUMBER
OBSERVATIONS
1
2
3
4
5
1
0.486
0.499
0.493
0.511
0.481
2
0.499
0.506
0.516
0.494
0.529
3
0.496
0.500
0.515
0.488
0.521
4
0.495
0.506
0.483
0.487
0.489
5
0.472
0.502
0.526
0.469
0.481
6
0.473
0.495
0.507
0.493
0.506
7
0.495
0.512
0.490
0.471
0.504
8
0.525
0.501
0.498
0.474
0.485
9
0.497
0.501
0.517
0.506
0.516
10
0.495
0.505
0.516
0.511
0.497
11
0.495
0.482
0.468
0.492
0.492
12
0.483
0.459
0.526
0.506
0.522
13
0.521
0.512
0.493
0.525
0.510
14
0.487
0.521
0.507
0.501
0.500
15
0.493
0.516
0.499
0.511
0.513
16
0.473
0.506
0.479
0.480
0.523
17
0.477
0.485
0.513
0.484
0.496
18
0.515
0.493
0.493
0.485
0.475
19
0.511
0.536
0.486
0.497
0.491
20
0.509
0.490
0.470
0.504
0.512
Calculate the mean and range for the above samples.…
Chapter 12 Solutions
Production and Operations Analysis, Seventh Edition
Ch. 12.1 - Prob. 2PCh. 12.1 - Prob. 3PCh. 12.1 - Prob. 4PCh. 12.1 - Prob. 5PCh. 12.1 - Prob. 6PCh. 12.2 - Prob. 7PCh. 12.2 - Prob. 8PCh. 12.2 - Prob. 9PCh. 12.2 - Prob. 10PCh. 12.2 - Prob. 11P
Ch. 12.2 - Prob. 12PCh. 12.2 - Prob. 13PCh. 12.3 - Prob. 14PCh. 12.3 - Prob. 15PCh. 12.3 - Prob. 16PCh. 12.3 - Prob. 17PCh. 12.4 - Prob. 18PCh. 12.4 - Prob. 19PCh. 12.4 - Prob. 20PCh. 12.4 - Prob. 21PCh. 12.5 - Prob. 22PCh. 12.6 - Prob. 23PCh. 12.6 - Prob. 24PCh. 12.6 - Prob. 25PCh. 12.6 - Prob. 26PCh. 12.6 - Prob. 27PCh. 12.6 - Prob. 28PCh. 12.9 - Prob. 29PCh. 12.9 - Prob. 30PCh. 12.9 - Prob. 31PCh. 12.9 - Prob. 32PCh. 12.9 - Prob. 33PCh. 12.10 - Prob. 34PCh. 12.10 - Prob. 35PCh. 12.10 - Prob. 37PCh. 12.10 - Prob. 38PCh. 12.10 - Prob. 39PCh. 12.10 - Prob. 40PCh. 12.11 - Prob. 41PCh. 12.11 - Prob. 42PCh. 12.11 - Prob. 43PCh. 12.11 - Prob. 44PCh. 12.12 - Prob. 46PCh. 12.12 - Prob. 47PCh. 12.12 - Prob. 48PCh. 12 - Prob. 49APCh. 12 - Prob. 50APCh. 12 - Prob. 51APCh. 12 - Prob. 52APCh. 12 - Prob. 53APCh. 12 - Prob. 54APCh. 12 - Prob. 55APCh. 12 - Prob. 57APCh. 12 - Prob. 58APCh. 12 - Prob. 59APCh. 12 - Prob. 60APCh. 12 - Prob. 61APCh. 12 - Prob. 62APCh. 12 - Prob. 63APCh. 12 - Prob. 64APCh. 12 - Prob. 65APCh. 12 - Prob. 66APCh. 12 - Prob. 67APCh. 12 - Prob. 68APCh. 12 - Prob. 69APCh. 12 - Prob. 70AP
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