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 having4 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 arethe lower and upper control limits for the X-bar chart?O a. None is correctO b. 143.55, 165.47Oc.144.78, 159.11O d. 157.21, 177.05O e. 146.01, 157.87Of.142.92, 160.66

An X chart is model of control chart which constructing based on the mean values of the samples. The…

Answered: In a fabric manufacturing factory, the…

Practical Management Science

6th Edition

ISBN:9781337406659

Author:WINSTON, Wayne L.

Publisher:WINSTON, Wayne L.

Chapter2: Introduction To Spreadsheet Modeling

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Problem 20P: Julie James is opening a lemonade stand. She believes the fixed cost per week of running the stand...

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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: UCL-4.86, LCL- = 4.52, UCLR=1.344, LCLR = 0. Over the past few days, they have taken five random samples of four loaves each and have found the following: Based on the x-chart, is one or more samples beyond the control limits? Sample 1 2 3 4 5 Yes No Loaf # 1 4.8 4.4 4.5 4.6 5.0 Net Weight Loaf # 2 4.7 4.8 4.5 4.9 4.8 Loaf # 3 5.0 4.7 4.9 4.7 4.7 Loaf # 4 4.7 4.8 4.6 4.5 4.6
The results of inspection of DNA samples taken over the past 10 days are given below. Sample size is 100. LCLp Day Defectives = 1 5 2 7 3 7 4 9 5 5 6 6 a) The upper and lower 3-sigma control chart limits are: UCL = 0.127 (enter your response as a number between 0 and 1, rounded to three decimal places). (enter your response as a number between 0 and 1, rounded to three decimal places). 7 1 8 6 9 10 10 1
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 .
Cartons of Plaster are supposed to weigh exactly 32 ounces. Inspectors want to develop process control charts. They take five samples of six (5) boxes each and weigh them. Sample means (X-bar) are: 33.8, 34.6, 34.7, 34.1, and 34.2 respectively. Also, the corresponding ranges are: 1.1, 0.3, 0.4, 0.7, and 0.3, respectively. The lower and upper control limits of the R-chart are ,respectively O a. None is correct O b. O and O.15 O c. 0.01 and 1.13 O d. 0.03 and 1.18 O e. O and 1.18
Boxes of Honey-Nut Oatmeal are produced to contain 15.0 ounces, with a standard deviation of 0.10 ounce. For a sample size of 49, the 3-sigma x chart control limits are: Upper Control Limit (UCL) = | ounces (round your response to two decimal places). Lower Control Limit (LCL;) = ounces (round your response to two decimal places).
An e-commerce website has received some complaints on Billing errors. Managers ask the accounting department to monitor the shipping process and make sure of the quality in their process. To monitor the process, for 10 consecutive weeks, they look into the first 100 shipments and count the number of Billing errors as shown in table below: 45 52 6 3 63 7 8 9 10 1 6 1 2 Construct a two-sigma limit control chart to show whether the shipping process in this e-commerce firm needs any improvement or performs at an acceptable level. (Round your answer to three decimal places.) Week 1 2 3 Number of Billing errors. 5 1 3 Upper Control Limit Lower Control Limit
Can someone please explain how to find upper and lower limits using Excel? I am trying to answer this question: The overall average on a process you are attempting to monitor is 50.0 units. The process population standard deviation is 1.84 Sample size is given to be 4.a) Determine the 3-sigma x-chart control limits. Upper Control Limit (UCL) = ____units (round your response to two decimal places).
A metal fabricator produces connecting rods with an outer diameter that has a 1 ± 0.04 inch specification. A machine operator takes several sample measurements over time and determines the sample mean outer diameter to be 1.003 inches with a standard deviation of 0.020 inch. Calculate the process capability index.
In an existing process, we have found that the lower and upper control limits for Xbar chart are 8.09 and 8.59 respectivelyWhereas, the lower and upper control limits for R chart are respectivelyThe following measurements for one sample are taken: 8.05, 14, 8.28 and 9.25 Using Xbar chart only, what we can conclude about the process mean a Process mean is in control Overall process is in control OcProcess mean is out of control dInsufficient information to conclude
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, 16.55

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