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 53AP
a
Summary Introduction
Interpretation:
The control limits for
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
b
Summary Introduction
Interpretation:
Probability that the shift is detected in the first subgroup after the shift occurs.
IConcept 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
c
Summary Introduction
Interpretation:
The number of subgroups that would be required to sample before it was detected and after the shift has occurred
IConcept 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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Students have asked these similar questions
When a robot welder is functioning properly the cylinders it produces burst (on average) at 3400 psi, with known standard deviation 100 psi. Determine the 3-Sigma mean control chart limits. Test lot sample sizes are n=4 cylinders randomly selected from the production line.
a. Centerline = ____
b. Upper Limit = ____
c. Lower Limit = ____
d. What is the probability that random variation will exceed the ± 3-sigma limits ____. (four decimal places with zero before the decimal)
Arana is a company that produces homemade Rotini pasta. They use statistical process control to monitor the
manufacturing process. The company collects five samples, each containing six packs of pasta. Below is the sample
data, but the standard deviation of the process output is unknown. If an R chart is created using three-sigma limits
(i.e., z = 3) to monitor the variability of products, what would be the upper control limit for this R chart?
Sample 1
Sample 2
Sample 3
Pack 1
452.3
451.6
448.6
Sample 4
454.7
Sample 5 448.9
7.614
9.328
11.653
13.427
Pack 2
452.8
451.2
455.6
451.7
453.4
Pack 3
456
454.6
456.5
451
456.7
Pack 4
457.2
455.3
451.9
452.6
456.3
Pack 5
457.8
452.2
455.6
454.7
452.4
Pack 6
451.8
451.9
448.3
458.4
456
What is the meaning of x ̅ ~ N (50, 2)?
1.
The Sampling distribution is distributed normally with a mean of 50 and a standard deviation of 2
2.
Sampling distribution of x is distributed normally with a mean of 2 and a standard deviation of 50
3.
x is normally distributed with a mean of 50 and a standard deviation of 2
4.
x-bar is normally distributed with a mean of 2 and a standard deviation of 50
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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- In an acceptance sampling plan developed for lotscontaining 1,000 units, the sample size n is 85. The percentdefective of the incoming lots is 2%, and the probability ofacceptance is 0.64. What is the average outgoing qualityarrow_forwardThe mean of the sample mean will tend to be worse of an estimate, then a single samplearrow_forwardA metal fabricator produces connecting rods with an outer diameter that has a 1± 0.02 inch specification. A machine operator takes several sample measurements over time and determines the sample mean outer diameter to be 1.005 inches with a standard deviation of 0.003 inch. Calculate the process capability index for this example. Note: Round your answer to 3 decimal places. Process capability indexarrow_forward
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