EBK PRODUCTION AND OPERATIONS ANALYSIS
7th Edition
ISBN: 9781478628385
Author: Olsen
Publisher: WAVELAND PRESS (ECONTENT)
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Question
Chapter 12, Problem 58AP
a
Summary Introduction
Interpretation:
Compute the true proportion of defectives for manufacturers A and B
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.
b
Summary Introduction
Interpretation: Whether the plan is fair or not.
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.
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Using samples of 200 credit card statements, an auditor found the following:
Sample 1 2 3 4
Number with errors 4 2 5 9
a. Determine the fraction defective in each sample.
b. If the true fraction defective for this process is unknown, what is your estimate of it?
c. What is your estimate of the mean and standard deviation of the sampling distribution of fractions defective for samples of this size?
d. What control limits would give an alpha risk of .03 for this process? Page 457
e. What alpha risk would control limits of .047 and .003 provide?
f. Using control limits of .047 and .003, is the process in control?
g. Suppose that the long-term fraction defective of the process is known to be 2 percent. What are the values of the mean and standard deviation of the sampling distribution?
h. Construct a control chart for the process, assuming a fraction defective of 2 percent, using two-sigma control limits. Is the process in control?
Can you show me the steps and formulas using excel
There is a contractual provision between an automotive parts company and a supplier of the company that the acceptance level of a lot is AQL = 1.5%. After receiving a lot of N = 2500 parts and performing a double sampling plan, 4 non-conforming parts were identified in the first lot tested and 3 non-conforming parts in the second lot tested.Required:a. Identify the symbolization of the size of the lot sent and the size of the two lots of samples to be checked (n1 and n2).b. Identify the value of acceptance criteria A1, A2 and rejection criteria R1, R2c. State the decision to accept or reject the lot.
In a sausage factory, quality managers are studying the compliance of the sausages with the requirements. Any sausage having pin holes, air pockets, deformation or breakage in its casings is counted as defective and total number of such defective sausages alone is noted in each shift. The following data represents the number of defective sausages in samples of 200 sausages taken from 10 shifts.
Sample
Defectives
Percent Defective
1
40
20%
2
28
14%
3
15
8%
4
23
(a)
5
20
10%
6
21
11%
7
19
10%
8
15
8%
9
16
8%
10
17
9%
Calculate the value for (a) in the table above.
Calculate p-bar based on the samples above.
What is the UCL and LCL for a p chart based on the data provided and a desired control level of 99.74%?
Use your control limits from part b along with the data provided to draw a p-chart.
Is the process in control? Why or why not? If not in control, suggest some potential reasons.
Chapter 12 Solutions
EBK PRODUCTION AND OPERATIONS ANALYSIS
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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