Operations Management: Processes and Supply Chains (11th Edition)
11th Edition
ISBN: 9780133872132
Author: Lee J. Krajewski, Manoj K. Malhotra, Larry P. Ritzman
Publisher: PEARSON
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Chapter 3, Problem 3AME
Summary Introduction
Interpretation:The affect on the p-chart is to be determined when the
Concept Introduction:The monitoring of the nonconforming units in sample in statistical quality control is done by the representation of the p-chart.
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What is it important to prove that a process is proven capable before developing statistical control limit ?
Why is it important to prove that a process is proven capable before developing statistical control limits (i.e., SPC charts)?
Webster Chemical Company produces mastics and caulking for the construction industry. The product is blended in large mixers and then pumped into tubes and capped. Management is concerned about whether the filling process for tubes of caulking is in statistical control. The process should be centered on 8 ounces per tube. Several samples of eight tubes were taken, each tube was weighed, and the weights in Table were obtained.
Ounces of Caulking Per Tube
Tube Number
Sample
1
2
3
4
5
6
7
8
1
2
3
4
5
6
7.98
8.33
7.89
8.24
7.87
8.13
8.34
8.22
7.77
8.18
8.13
8.14
8.02
8.08
7.91
7.83
7.92
8.11
7.94
8.51
8.04
8.05
7.99
8.13
8.44
8.41
8.00
7.90
8.10
8.14
7.68
8.28
7.89
8.16
7.81
8.12
7.81
8.09
7.93
7.97
8.14
8.13
8.11
8.16
8.09
8.07
7.88
8.14
a. Assume that only six samples are sufficient and develop the control charts for the mean and the range.b. Plot the observations on the control chart and comment on your findings.
Chapter 3 Solutions
Operations Management: Processes and Supply Chains (11th Edition)
Ch. 3 - Should a very pricey handcrafted object of beauty...Ch. 3 - Prob. 2DQCh. 3 - Prob. 3DQCh. 3 - Prob. 1PCh. 3 - Prob. 2PCh. 3 - Prob. 3PCh. 3 - Prob. 4PCh. 3 - Prob. 5PCh. 3 - Prob. 6PCh. 3 - Prob. 7P
Ch. 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. 19PCh. 3 - Prob. 20PCh. 3 - Prob. 21PCh. 3 - Prob. 22PCh. 3 - Prob. 23PCh. 3 - Prob. 24PCh. 3 - Prob. 26PCh. 3 - Prob. 27PCh. 3 - Prob. 28PCh. 3 - Prob. 29PCh. 3 - Prob. 31PCh. 3 - Prob. 1AMECh. 3 - Prob. 2AMECh. 3 - Prob. 3AMECh. 3 - Prob. 4AMECh. 3 - Prob. 5AMECh. 3 - Prob. 1VCCh. 3 - Prob. 2VCCh. 3 - Prob. 3VC
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- Administering new bank accounts is intended to average 15 minutes each. Five samples of four observations each have been taken. Use the sample data in concurrence with Table 2.3 to create upper and lower control limits for both a mean chart and a range chart. Do results propose that the procedure is in control? Sample 1 Sample 2 Sample 3 Sample 4 Sample 5 11.2 11.3 10.7 10.9 10.8 10.9 10.8 10.9 11.3 11.2 10.8 10.9 10.9 11.1 11.3 11.1 11.4 11.1 11.5 10.7 Total: 44 44.4 43.6 44.8 44arrow_forwardIn statistical process controlthe hourly samples are taken . The sample means are : 156,46 189.31, 102.22 and 112.09 respectively . Also, the ranges of these samples are 11.97, 11.86, and 11.83 respectively . If the upper controllimit of R chart 28.17 what the sample size of each sample?arrow_forwardWhen most processes are sampled for control chart purposes, why aren't they in statistical control?arrow_forward
- In process industry during a daily production run, a total of five (05) samples are collected with four (04) observations within each sample. The sample means (X-bar) are; 14.09, 13.94,16.86, 20.00, and 16.64 respectively. The corresponding ranges are; 9.90, 7.73, 4.41, 7.56, and 3.49 respectively. The lower and upper control limits of the x-bar chart are respectively O a. 11.44, 20.66 O b. 11.29, 20.65 C. None is correct Od. 11.47, 21.14 e. 11.47, 16.55arrow_forwardCheckout time at a supermarket is monitored using a mean and a range chart. Six samples of n = 20 observations have been obtained and the sample means and ranges computed:arrow_forwardwhat trade-offs are involved in choosing between a large sample size and a smaller simple size?arrow_forward
- x and R Control Charts A cereal manufacturer fills cereal boxes to an averageweight of 20 ounces and has an average range of 2 ounces when the filling process is in control. A sample size of 10 boxes is used in evaluating the process.a. What are the CL, UCL, and LCL for the x and R charts?b. A sample with the following 10 measurements was just taken: 20, 21, 19, 18, 19, 21,22, 20, 20, 19. Is the process still in control?arrow_forwardWhat two basic assumptions must be satisfied in order to use a process capability index?arrow_forwardIn 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 4 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, 219.58, 208.24, 112.44, and 123.30 respectively. In the same sample, the corresponding ranges are: 13.17, 13.38, 15.34, 13.04, and 13.02 respectively What are the lower and upper control limits for the X-bar chart? O a. None is correct O b. 143.55, 165.47 Oc. 144.78, 159.11 O d. 157.21, 177.05 O e. 146.01, 157.87 Of. 142.92, 160.66arrow_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 4 observations regarding the thickness of fabric in measured in millimeters. In a particular hour, the sample means (X-bar) are noted to be: 172.11,219.58, 208.24, 112.44, and 123.30 respectively. In the same sample, the corresponding ranges are: 13.17, 13.38, 15.34, 13.04, and 13.02 respectively What are the lower and upper control limits for the R chart? O a. 0,31.47 O b. 0,30.99 Oc. None is correct O d. 0,29.17 O e. 0,31.17 O f. 0,28.17arrow_forwardWhy are most processes not in statistical control when they are first sampled for control chart purposes? *250 words minimum. Thank you!arrow_forwardA local steel pipe manufacturing company makes pipes. In a quality control assessment, a total of five (05) samples are collected with four (04) observations within each sample. The sample means (X-bar) are; 14.09, 13.94, 16.86, 18.77, and 16.64 respectively. Next, the corresponding ranges are; 9.90, 7.73, 7.89, 7.56, and 5.50 respectively. The lower and upper control limits of the R-chart are_ respectively Oa. None is correct O b. 0,16.68 O c. 0, 17.59 O d. 0,17.32 O e. 1, 10.5arrow_forward
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