Operations Management
13th Edition
ISBN: 9781259667473
Author: William J Stevenson
Publisher: McGraw-Hill Education
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Chapter 10, Problem 4P
Summary Introduction
To determine: The upper and lower control limits and decide if the process is in control.
Introduction:
Control chart:
It is a graph used to analyze the process change over a time period. A control chart has a upper control limit, and lower control which are used plot the time order.
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Factors for computing control chart limits are provided in Table E1 below.
Table E1: Factors for Computing Control Limits (3 sigma)
Sample Size, n
Mean Factor, A2 Upper Range, D4 Lower Range, D3
2
1.880
3.268
0
♡
1.023
2.574
st
4
0.729
2.282
0
5
0.577
2.115
0
6
0.483
2.004
0
7
0.419
1.924
0.076
8
0.373
1.864
0.136
a
0.337
1.816
0.184
10
10
0.308
1.777
0.223
Why are most processes not in statistical control when they are first sampled for control chart purposes?
*250 words minimum. Thank you!
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?
Chapter 10 Solutions
Operations Management
Ch. 10.2 - A potato chip is a delicate thing Fragile A pound...Ch. 10.2 - A potato chip is a delicate thing Fragile A pound...Ch. 10.5 - It's estimated that more than 7 000 hospital...Ch. 10.5 - It's estimated that more than 7 000 hospital...Ch. 10 - Prob. 1DRQCh. 10 - Prob. 2DRQCh. 10 - Prob. 3DRQCh. 10 - Prob. 4DRQCh. 10 - Prob. 5DRQCh. 10 - Prob. 6DRQ
Ch. 10 - Prob. 7DRQCh. 10 - Prob. 8DRQCh. 10 - Prob. 9DRQCh. 10 - Prob. 10DRQCh. 10 - Prob. 11DRQCh. 10 - Prob. 12DRQCh. 10 - Prob. 13DRQCh. 10 - Prob. 14DRQCh. 10 - Prob. 15DRQCh. 10 - Prob. 16DRQCh. 10 - Prob. 1TSCh. 10 - Prob. 2TSCh. 10 - Prob. 3TSCh. 10 - Prob. 1CTECh. 10 - Prob. 2CTECh. 10 - Prob. 3CTECh. 10 - Prob. 4CTECh. 10 - Prob. 1PCh. 10 - Prob. 2PCh. 10 - Prob. 3PCh. 10 - Prob. 4PCh. 10 - Prob. 5PCh. 10 - Prob. 6PCh. 10 - Prob. 7PCh. 10 - Prob. 8PCh. 10 - Prob. 9PCh. 10 - Prob. 10PCh. 10 - Prob. 11PCh. 10 - Prob. 12PCh. 10 - Prob. 13PCh. 10 - Prob. 14PCh. 10 - Prob. 15PCh. 10 - Prob. 16PCh. 10 - Prob. 17PCh. 10 - A production process consists of a three-step...Ch. 10 - Prob. 19PCh. 10 - Prob. 20PCh. 10 - Prob. 21PCh. 10 - Prob. 22PCh. 10 - Prob. 23PCh. 10 - Prob. 24PCh. 10 - Prob. 25PCh. 10 - Prob. 26PCh. 10 - Prob. 27PCh. 10 - Prob. 28PCh. 10 - Prob. 29PCh. 10 - Prob. 1.1CQCh. 10 - Prob. 2.1CQCh. 10 - Prob. 2.2CQCh. 10 - Prob. 2.3CQCh. 10 - Prob. 2.4CQ
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- Why is it important to prove that a process is proven capable before developing statistical control limits (i.e., SPC charts)?arrow_forwardThe following data were collected on the number of nonconformities per unit for 10 time periods. Complete parts (a) and (b). Time 1 2 3 4 5 6 7 8 9 10 Nonconformities Per Unit 23 11 14 15 6 14 11 9 13 6 a. Construct the appropriate control chart and determine the LCL and UCL. What is the lower control limit? Select the correct choice below and fill in any answer boxes within your choice. A. LCL=enter your response here (Round to three decimal places as needed.) B. There is no lower control limit.arrow_forwardFour samples of three observations each have been taken, with actual measurements (in centimetres) shown below. Construct three sigma mean and range charts, and determine if corrective action is needed. Sample 1 12.3 12.2 12.1 2 11.9 12.2 12.2 3 12.0 12.2 11.8 4 12.1 11.8 11.8arrow_forward
- Computer upgrade times (in minutes) are being evaluated. Samples of five observations each have been taken, and the results are as listed. Using factors from Table 10.3, determine upper and lower control limits for mean and range charts, and decide if the process is in control. SAMPLE 1 2 3 4 5 6 79.2 80.5 79.6 78.9 80.5 79.7 78.8 78.7 79.6 79.4 79.6 80.6 80.0 81.0 80.4 79.7 80.4 80.5 78.4 80.4 80.3 79.4 80.8 80.0 81.0 80.1 80.8 80.6 78.8 81.1arrow_forwardComputer upgrades have a nominal time of 80 minutes. Samples of six observations each have been taken, and the results are as listed. Using factors from Table 10.3, determine upper and lower control limits for mean and range charts. Does the process is in control? Sample 2 3 4 5 73.7 75.0 74.1 73.4 75.0 73.3 73.2 74.1 73.9 74.1 74.5 75.5 74.9 74.2 74.9 72.9 74.9 74.8 73.9 75.3 75.5 74.6 75.3 75.1 73.3 74.2 75.1 75.0 74.5 75.6arrow_forwardhelp please need it in excelarrow_forward
- When is the desired mean, J.L, used in establishing the centerlineof a control chart instead of X?arrow_forwardA manager wishes to build a control chart for a process. A total of five (05) samples are collected with five (05) observations within each sample. The sample means (X-bar) are; 14.09, 13.94, 16.86, 18.77, and 16.64 respectively. Also, the corresponding ranges are; 9.90, 7.73, 5.89, 7.56, and 3.49 respectively. The lower and upper control limits of the R-chart are respectively Select one: a. 0,13.32 b. 0,14.59 c. 0, 12.32 d. 1, 10.5arrow_forwardA manager wishes to build a control chart for a process. 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. Also, 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 Select one: a. 11.23, 20.89 b. 12.40, 19.72 C. 11.47, 16.55 d. 18.55, 13.47arrow_forward
- Inter-State Moving and Storage Company wishes to establish a control chart to monitor the proportion of residential moves that result in written complaints due to late delivery, lost items, or damaged items. A sample of 40 moves is selected for each of the last 12 months. The number of written complaints in each sample is 9, 7, 4, 9, 1, 9, 11, 5, 5, 8, 7, and 15. Number Defective Percent defective 9 18 7 14 4 8 9 18 1 2 9 18 11 22 5 10 5 10 8 16 7 14 15 30 a. Insert the mean proportion defective, UCL, and LCL. (Leave no cells blank - be certain to enter "0" wherever required. Round your intermediate calculations and final answers to 2 decimal places.) Mean proportion defective UCL LCL c. Does it appear that the number of complaints is out of control for any of the months?multiple choice Yes Noarrow_forwardThe 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_forwardonline EXERCISE #8 Operations department of Express Malam has carefully tracked the length of rail express delays. The most current data x chart k chart are given below. Sample Number Observations (minutes late) 1 2 1 10.1 19.3 8.1 21.2 32.1 20.2 94.1 35.8 43.1 26.7 3 4 a) Develop X chart for the process using 35 control limits. b) Develop an R chart for the prrocess using 35 control limits. c) What conclusions can be drawn? Solutions: Stop or what ? Observation Sample Number 1 X-bar R. 1 10.1 20.2 19.3 94.1 35.8 43.1 3 8.1 4 21.2 32.1 26.7 Total X-Double Bar R-Bararrow_forward
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