Operations and Supply Chain Management 9th edition
9th Edition
ISBN: 9781119320975
Author: Roberta S. Russell, Bernard W. Taylor III
Publisher: WILEY
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Question
Chapter 3.S, Problem 3P
Summary Introduction
To draw: Determine whether the current sampling plan used by Metro will achieve the levels of α=0.05 and β=0.10.
Introduction: A comparison of the current sampling plan with the binomial distribution table will help to make the decision of whether the levels of α and β can be achieved or not.
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Students have asked these similar questions
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
A sampling plan is desired to have a producer's risk of 0.10 at AQL -0.8% and a consumer's risk of 0.05 at LQL-7.5% nonconforming Find
the single sampling plan that meets the consumer's stipulation and comes as close as possible to meeting the producer's stipulation.
4.
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:
UCLx
=
5.35,
LCLx
=
4.93;
UCLR
=
0.894,
LCLR
=
0.
Over the past few days, they have taken five random samples of four loaves each and have found the following:
Net Weight
Sample
Loaf # 1
Loaf # 2
Loaf # 3
Loaf # 4
1
4.9
5.2
5.1
5.0
2
5.3
5.1
5.2
5.3
3
4.9
5.2
4.9
5.2
4
5.5
5.5
5.3
5.5
5
5.3
5.2
5.3
5.0
Part 2
Based on the
x-chart,
is one or more samples beyond the control limits?
▼
No
Yes
.
Chapter 3 Solutions
Operations and Supply Chain Management 9th edition
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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- A quality analyst wants to construct a sample mean chart for controlling a packaging process. Each day last week, he randomly selected four packages and weighed each. The raw data (in ounces) from that quality control activity appear below. Weight Day Package 1 Package 2 Package 3 Package 4 Monday 23 22 23 24 Tuesday 23 21 19 21 Wednesday 20 19 20 21 Thursday 18 19 20 19 Friday 18 20 22 20 What is the average of sample ranges in the random samples? Must compute each value in 2 dec pl.arrow_forwardIn 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.arrow_forwardRefer to Table S6.1 - Factors for Computing Control Chart Limits (3 sigma) for this problem. Twelve samples, each containing five parts, were taken from a process that produces steel rods at Emmanual Kodzi's factory. The length of each rod in the samples was determined. The results were tabulated and sample means and ranges were computed. The results were: Sample Mean (in.) Range (in.) Sample Sample Sample Mean (in.) Range (in.) 1 9.404 0.044 7 9.403 0.021 2 9.402 0.051 8 9.405 0.058 3 9.393 0.042 9.395 0.039 4 9.404 0.037 10 9.401 0.038 9.399 0.048 11 9.401 0.054 9.397 0.053 12 9.404 0.061 For the given data, the x = inches (round your response to four decimal places). Based on the sampling done, the control limits for 3-sigma x chart are: Upper Control Limit (UCL;) = inches (round your response to four decimal places). Lower Control Limit (LCL;) = inches (round your response to four decimal places).arrow_forward
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