OPERATIONS MANAGEMENT IN THE SUPPLY CHAIN: DECISIONS & CASES (Mcgraw-hill Series Operations and Decision Sciences)
7th Edition
ISBN: 9780077835439
Author: Roger G Schroeder, M. Johnny Rungtusanatham, Susan Meyer Goldstein
Publisher: McGraw-Hill Education
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Chapter 9, Problem 6P
a)
Summary Introduction
To setup: X bar and R control charts.
b)
Summary Introduction
To determine: If the process is under control.
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A manager wishes to build a control chart for a process. A total of five () samples are collected with six (06) observations within each sample. The sample means (X-bar) are15.36, 14.61, 16.36, 20.28 , and 15.77 respectively. Also, the corresponding ranges are 0.79, 8.37, 4.81, 8.17 and 3.31 respectively. The lower and upper control limits of the x-bar chart are respectively aNone is correct b. 18.5513.47 , 11.47 d. 12.60.20.36 13.07 , 19.88
A manager wishes to build a control chart for a process. A total of hve (05) samples are collected with six x(06) observations within each sampleThe sample means (X-bar) are15.36, 14.61, 16.36, 20.28and 15.77 respectively. Also, the corresponding ranges are 8, 37, 4.81, 8.17 and 3.31 respectivelyThe lower and upper control limits of the x-bar chart are respectively
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?
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OPERATIONS MANAGEMENT IN THE SUPPLY CHAIN: DECISIONS & CASES (Mcgraw-hill Series Operations and Decision Sciences)
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- In an existing process, we have found that the lower control limit for X-bar chart is 8.08. Whereas, the lower and upper control limits for R-chart are 0 to 2.25 respectively. The following measurements for one sample are taken: 8.5, 8.9, 8.28, and 8.7. Using both the X-bar chart and R- chart for this particular sample, what we can conclude about the overall process a. Insufficient information to conclude b. Process is in-control C. Perfect process d. Process is out-of-control.arrow_forwardA process that is assumed to be in control with limits of 88 ±4 had sample averages for the x-bar chart of the following: 87.1,87, 87.2, 89, 90, 88.5, 89.5, and 88. Which of the following statement below are correct? a. Process mean is out-of-control b. Not enough information to determine С. Process mean is NOT out-of-control O d. None is correctarrow_forwardIn 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_forward
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- The inner diameter of piston rings follows a normal distribution with mean 75mm and variance =9. The sample size is 5, X-bar chart is established. If L =2, what is the type I error rate when process is in-control? If we change the control limits to UCL = 78.354, and LCL = 71.646, what is Type I error rate?arrow_forwardWhy are most processes not in statistical control when they are first sampled for control chart purposes? *250 words minimum. Thank you!arrow_forwardGiven there are five (05) sample taken. The sample mean (X-bar) are; 8.51, 8.18, 11.07, 10.03, and 10.23 respectively. Also, Range values for these 5 samples are; 3.33, 2.61, 3.39, 4.39, and 6.49. If the upper control limit for X-bar chart is 12.55, what should be the most appropriate the sample size? Select one: a. 5 b. 4 с. 2 d. 3arrow_forward
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