# Problem 10-4 (Static)Software upgrade times (in minutes) are being evaluated. Samples of five observations each have been taken, and the results are as listed.**Sample Data:**| Sample | 1 | 2 | 3 | 4 | 5 | 6 ||--------|-----|-----|-----|-----|-----|-----|| 1 | 79.2 | 78.5 | 76.3 | 79.8 | 78.5 | 80.3 || 2 | 78.8 | 79.7 | 79.6 | 79.4 | 77.9 | 79.8 || 3 | 88.4 | 81.0 | 82.4 | 79.4 | 80.4 | 88.5 || 4 | 78.4 | 81.4 | 80.4 | 83.1 | 87.4 | 83.1 || 5 | 80.1 | 88.5 | 78.0 | 80.8 | 79.8 | 81.1 |[Click here for the Excel Data File]**Factors for three-sigma control limits for \(\bar{x}\) and \(R\) charts:**| Number of Observations in Subgroup, \(n\) | Factor for \(\bar{x}\) Chart, \(A_2\) | Factors for \(R\) Charts | Lower Control Limit, \(D_3\) | Upper Control Limit, \(D_4\) ||------------------------------------------|--------------------------------------|--------------------------|-----------------------------|-----------------------------|| 2 | 1.88 | 0 | 3.27 || 3 | 1.02 | 0 | 2.57 || 4 | 0.73 | 0 | 2.28 || 5 | 0.58 | 0 | 2.11 || 6 | 0.48 | 0 | 2.00 || 7 | 0.42 | 0.08 | 1.92 || 8 | ### Control Limit Calculation and Process Control Decision**a. Upper and Lower Control Limits Calculation:**Using factors from the above table, determine the upper and lower control limits for mean and range charts. **(Round your intermediate calculations and final answers to 2 decimal places. Leave no cells blank - be certain to enter "0" wherever required.)**| | Mean Chart | Range Chart ||------------|------------|-------------|| **UCL** | | || **LCL** | | |**b. Decide if the process is in control:**- The process is in control.- The process is not in control.**Explanation of Tables and Terms:**- **Mean Chart (X-bar Chart):** Used to monitor the central tendency of a process over time.- **Range Chart (R Chart):** Used to monitor the dispersion or variability of a process.- **UCL (Upper Control Limit):** The highest value within which the process should operate.- **LCL (Lower Control Limit):** The lowest value within which the process should operate.Ensure that all calculations adhere to the instructions, and make a selection based on whether the process data falls within the determined control limits.

A control chart is a statistical tool which helps to identify the process controllability using…

Answered: a. Using factors from above table,…

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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concernedas to whether caulking tubes are being properly capped. Ifa significant proportion of the tubes are not being sealed,Webster is placing its customers in a messy situation.Tubes are packaged in large boxes of 144. Several boxes areinspected, and the following numbers of leaking tubes arefound: Calculate p-chart three-sigma control limits to assesswhether the capping process is in statistical control.
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If a point on a control chart falls outside one of the control limits, this suggests that the process output is non-random and should be investigated. O a. TRUE O b. FALSE 10 19 NEXT PAGE 28 IOUS PAGE Finish at 82°F Mostly er
(1) Rewrite each of the following measurements using the rounding rules listed in the Lab Standards Manual in the box below each measurement. Use Insert → Equation to format the equation and the t sign properly. a) d = 9.549 +0.0017 mb) d = 9.549 ± 0.01 m c) d = 9.549 ± 0.012 m Rounded:
A can filling process at a beverage manufacturing factory is assumed to be in control with limits of 89 ± 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? O a. None is correct O b. Process mean is out-of-control Not enough information to determine O d. Process mean is NOT out-of-control NEXT PAGE PAGE
A can filling process at a beverage manufacturing factory is assumed to be in control with limits of 84 ±3 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 Not enough information to determine .a O None is correct b O Process mean is in-control .c O Process mean is out-of-control .d O أخل اختياري 4) E ENG acer
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Which of the following is NOT usually part of a control chart a. Centre line b. Lower control limit c. Out of control line d. Upper control limit
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
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

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