Operations Management
11th Edition
ISBN: 9780132921145
Author: Jay Heizer
Publisher: PEARSON
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Question
Chapter 6.S, Problem 11P
a)
Summary Introduction
To determine: The upper and lower control limits.
b)
Summary Introduction
To draw: The chart and plot the values.
c)
Summary Introduction
To identify: If the process is in control.
d)
Summary Introduction
To explain: The reason why the process is not in control.
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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
Sample Mean (in.)
Range (in.)
Sample
Sample Mean (in.)
Range (in.)
1
9.602
0.033
7
9.603
0.041
2
9.602
0.041
8
9.605
0.034
3
9.593
0.034
9
9.597
0.027
4
9.606
0.051
10
9.601
0.029
5
9.599
0.031
11
9.603
0.039
6
9.599
0.036
12
9.606
0.047
Part 2
For the given data, the
x double overbarx =
(inches (round your response to four decimal places)
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
Sample Mean (in.)
Range (in.)
Sample
Sample Mean (in.)
Range (in.)
1
9.602
0.033
7
9.603
0.041
2
9.602
0.041
8
9.605
0.034
3
9.593
0.034
9
9.597
0.027
4
9.606
0.051
10
9.601
0.029
5
9.599
0.031
11
9.603
0.039
6
9.599
0.036
12
9.606
0.047
Part 2
For the given data, the
x double overbarx
=
9.6013
inches (round your response to four decimal places).
Part 3
Based on the sampling done,
the
control limits for 3-sigma
x overbarx
chart are:
Upper Control Limit
(UCL Subscript x…
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
Sample Mean(in.)
Range (in.)
Sample
Sample Mean (in.)
Range (in.)
1
9.402
0.033
7
9.401
0.041
2
9.404
0.041
8
9.407
0.034
3
9.391
0.034
9
9.393
0.027
4
9.406
0.051
10
9.401
0.029
5
9.397
0.031
11
9.403
0.039
6
9.399
0.036
12
9.404
0.047
Part 2
For the given data, the
x
=
enter your response here
inches (round your response to four decimal places).
Chapter 6 Solutions
Operations Management
Ch. 6.S - Prob. 1DQCh. 6.S - Define in statistical control.Ch. 6.S - Prob. 3DQCh. 6.S - Prob. 4DQCh. 6.S - Prob. 5DQCh. 6.S - Prob. 6DQCh. 6.S - Prob. 7DQCh. 6.S - Prob. 8DQCh. 6.S - Prob. 9DQCh. 6.S - Prob. 10DQ
Ch. 6.S - Prob. 11DQCh. 6.S - Prob. 12DQCh. 6.S - Prob. 13DQCh. 6.S - Prob. 14DQCh. 6.S - Prob. 15DQCh. 6.S - Prob. 16DQCh. 6.S - Prob. 17DQCh. 6.S - What does the formula L = D2C mean?Ch. 6.S - Prob. 19DQCh. 6.S - An avant-garde clothing manufacturer runs a series...Ch. 6.S - Prob. 2PCh. 6.S - Prob. 3PCh. 6.S - Prob. 4PCh. 6.S - Kathleen McFaddens restaurant in Boston has...Ch. 6.S - Develop a flowchart [as in Figure 6.6 (e) and...Ch. 6.S - Prob. 7PCh. 6.S - Prob. 8PCh. 6.S - Prob. 9PCh. 6.S - Prob. 10PCh. 6.S - Prob. 11PCh. 6.S - Prob. 12PCh. 6.S - Prob. 13PCh. 6.S - Prob. 14PCh. 6.S - Prob. 15PCh. 6.S - Prob. 16PCh. 6.S - Prob. 17PCh. 6.S - Prob. 18PCh. 6.S - Prob. 19PCh. 6.S - Prob. 20PCh. 6.S - Prob. 21PCh. 6.S - Prob. 22PCh. 6.S - Prob. 23PCh. 6.S - Prob. 24PCh. 6.S - Prob. 25PCh. 6.S - Prob. 26PCh. 6.S - Prob. 27PCh. 6.S - Prob. 28PCh. 6.S - Prob. 29PCh. 6.S - Prob. 30PCh. 6.S - Prob. 31PCh. 6.S - Prob. 32PCh. 6.S - Prob. 33PCh. 6.S - Prob. 34PCh. 6.S - Prob. 35PCh. 6.S - Prob. 1CSCh. 6.S - Prob. 2CSCh. 6.S - Prob. 1.1VCCh. 6.S - Prob. 1.2VCCh. 6.S - Prob. 1.3VCCh. 6.S - Prob. 2.1VCCh. 6.S - Prob. 2.2VCCh. 6.S - Prob. 2.3VCCh. 6.S - Prob. 2.4VCCh. 6 - Prob. 1DQCh. 6 - Prob. 2DQCh. 6 - Prob. 3DQCh. 6 - Prob. 4DQCh. 6 - Prob. 5DQCh. 6 - Prob. 6DQCh. 6 - Prob. 7DQCh. 6 - Prob. 8DQCh. 6 - Prob. 9DQCh. 6 - Prob. 10DQCh. 6 - Prob. 11DQCh. 6 - Prob. 12DQCh. 6 - Prob. 13DQCh. 6 - Prob. 14DQCh. 6 - Prob. 15DQCh. 6 - Prob. 16DQCh. 6 - Prob. 17DQCh. 6 - What does the formula L = D2C mean?Ch. 6 - Prob. 19DQCh. 6 - An avant-garde clothing manufacturer runs a series...Ch. 6 - Prob. 2PCh. 6 - Prob. 3PCh. 6 - Prob. 4PCh. 6 - Kathleen McFaddens restaurant in Boston has...Ch. 6 - Develop a flowchart [as in Figure 6.6 (e) and...Ch. 6 - Prob. 7PCh. 6 - Prob. 8PCh. 6 - Prob. 9PCh. 6 - Prob. 10PCh. 6 - Prob. 11PCh. 6 - Prob. 12PCh. 6 - Prob. 13PCh. 6 - Prob. 14PCh. 6 - Prob. 15PCh. 6 - Prob. 16PCh. 6 - Prob. 17PCh. 6 - Prob. 1CSCh. 6 - How could the survey have been more useful?Ch. 6 - Prob. 3CSCh. 6 - Prob. 1.1VCCh. 6 - Prob. 1.2VCCh. 6 - Prob. 1.3VCCh. 6 - Prob. 1.4VCCh. 6 - Prob. 2.1VCCh. 6 - Prob. 2.2VCCh. 6 - Prob. 2.3VCCh. 6 - Prob. 2.4VCCh. 6 - Prob. 2.5VC
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- 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 Sample Mean (in.) Range (in.) Sample Sample Mean (in.) Range (in.)1 9.700 0.044 7 9.703 0.0212 9.700 0.051 8 9.707 0.0583 9.689 0.042 9 9.695 0.0394 9.706 0.037 10…arrow_forwardTwelve 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 Sample Mean (in.) Range (in.) Sample Sample Mean (in.) Range (in.) 1 11.404 0.044 7 11.403 0.021 2 11.400 0.051 8 11.407 0.058 3 11.389 0.042 9 11.397 0.039 4 11.406 0.037 10 11.403 0.038 5 11.395 0.048 11 11.401 0.054 6 11.397 0.053 12 11.406 0.061 Part 2 For the given data, the x = enter your response here inches (round your response to four decimal places). The control limits for the 3-sigma R-chart are (round all intermediate calculations to three decimal places before…arrow_forwardTwelve 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 Sample Mean (in.) Range (in.) Sample Sample Mean (in.) Range (in.) 1 13.502 0.033 7 13.501 0.041 2 13.500 0.041 8 13.507 0.034 3 13.489 0.034 9 13.493 0.027 4 13.508 0.051 10 13.501 0.029 5 13.497 0.031 11 13.501 0.039 6 13.499 0.036 12 13.506 0.047 For the given data, the x = nothing 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 (UCLx) = nothing inches (round your response…arrow_forward
- 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 Sample Mean (in.) Range (in.) Sample Sample Mean (in.) Range (in.) 1 10.802 0.044 7 10.803 0.021 2 10.800 0.051 8 10.807 0.058 3 10.791 0.042 9 10.793 0.039 4 10.808 0.037 10 10.803 0.038 5 10.797 0.048 11 10.803 0.054 6 10.801 0.053 12 10.806 0.061 Part 2 For the given data, the x = enter your response here inches (round your response to four decimal places).arrow_forwardTwelve samples, each containing five parts, were taken from a process that produces steel rods. The length of each rod is the sample was determined. The results were tabulated and sample means and ranges were computed. Sample Sample Mean (in.) Range (in.) 1 10.001 0.011 2 10.003 0.014 3 9.995 0.007 4 10.007 0.022 5 9.997 0.013 6 9.999 0.012 7 10.001 0.008 8 10.006 0.014 9 9.994 0.005 10 10.002 0.010 11 10.002 0.013 12 10.005 0.009 Determine the upper and lower control limits and the overall means for -chart and R-chart. Chart the charts and plot the values of the sample means and ranges. 3. Does the data indicate a process that is in control? Why or why not?arrow_forwardAuto pistons at Wemming Chung's plant in Shanghai are produced in a forging process, and the diameter is a critical factor that must be controlled. From sample sizes of 5 pistons produced each day, the mean and the range of this diameter have been as follows: Day Mean (mm) Range R (mm) 158 4.3 151.2 4.4 155.7 4.2 153.5 4.8 156.6 4.5 What is the UCL using 3-sigma?(round your response to two decimal places). 1. 2. 4.arrow_forward
- Refer 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_forwardFive samples of size 4 were taken from a process. A range chart was developed that had LCLR = 0 and UCLR = 2.50. Similarly, an average chart was developed with the average range from the five samples, with LCL = 15.0 and UCL = 24.0. The ranges for each of the five samples were 1.75, 2.42, 2.75, 2.04, and 2.80, respectively. The values of the sample average for each sample were 19.5, 22.3, 17.4, 20.1, and 18.9, respectively. What can you tell management from this analysis? The process variability is out of control, and we cannot make a statement about the process average. The process variability is out of control, but the process average is in control. The process variability and the process average are out of control. We cannot tell if the process variability or the process average is out of control. Need the answer in 10 minutes, if possible. Pleasearrow_forwardA Quality Analyst wants to construct a control chart for determining whether three machines, all producing the same product, are under control with regard to a particular quality variable. Accordingly, he sampled four units of output from each machine, with the following results: Machine Measurements #1 17 15 15 17 #2 16 25 18 25 # 3 23 24 23 22 What is the estimate of the process mean for whenever it is under control? What is the sample average range based upon this limited sample? What are the x-bar chart upper and lower control limits?arrow_forward
- In a fabric manufacturing factory, the quality control process using control charts from SPC. In an hour there are a total of 5 samples are taken each having 5 observations regarding the thickness of fabric in measured in millimeters. In a particular hour, the sample means (X-bar) are noted to be: 172.11, 219.51 . 208.24, 112.44 and 123.30 respectively. In the same sample, the corresponding ranges are: 13.1713.3815.34, 13.04, and 13.02 respectively What are the lower and upper control limits for the R chart?arrow_forwardSample size (n) is 16, mean of the sample means ( ) is 15, mean of the sample ranges ( ) is 6, and population standard deviation ( ) is not known. Calculate the UCL and LCL of the mean chart (x-Chart) for this process. Group of answer choices Cannot be calculated UCL=33.0, LCL=-3.0 UCL=13.73, LCL=16.27 UCL=16.27, LCL=13.73 UCL=33.0, LCL=0arrow_forwardThe 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.arrow_forward
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