**Problem 13-8 (Algo)**A shirt manufacturer buys cloth by the 100-yard roll from a supplier. For setting up a control chart to manage the irregularities (e.g., loose threads and tears), the following data were collected from a sample provided by the supplier.| SAMPLE | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 ||-----------------|---|---|---|---|---|---|---|---|---|----|| IRREGULARITIES | 4 | 3 | 3 | 4 | 3 | 2 | 4 | 4 | 3 | 7 |a. Determine the \(\bar{c}\), \(S_p\), UCL, and LCL for a c-chart with \(z = 2\). *(Leave no cells blank. Round up any negative LCL value to "0". Round your answers to 2 decimal places.)*| | ||--------|--------|| c̄ | || Sp | || UCL | || LCL | |**Explanation:**The table provided displays data regarding the number of irregularities observed in each of the ten samples of cloth. These observations will be used to calculate the average number of defects (\(\bar{c}\)), the standard deviation of defects (\(S_p\)), the Upper Control Limit (UCL), and the Lower Control Limit (LCL) for a c-chart. The c-chart is a type of control chart used to monitor the number of defects per unit in quality control settings.The instruction at the bottom specifies that for calculating the control limits, a z-value of 2 should be used. Any negative values for the LCL should be rounded up to zero, and all final answers should be rounded to two decimal places. **a.** Determine the \( \bar{c}, S_p, \) UCL, and LCL for a \( c \)-chart with \( z = 2 \). (**Leave no cells blank. Round up any negative LCL value to "0". Round your answers to 2 decimal places.**)| | ||---|---|| \( c \) | || \( S_p \) | || UCL | || LCL | |**b.** Suppose the next five rolls from the supplier had four, four, two, two, and eight irregularities. Is the supplier process under control?- O No- O Yes**Explanation of Concepts:**- \( \bar{c} \): The average number of defects or irregularities.- \( S_p \): Standard deviation for the process.- UCL (Upper Control Limit) and LCL (Lower Control Limit): Limits used to determine if a process is in control. If data points fall outside these limits, the process may be out of control.

Process control refers to the capacity to observe and modify a process to get the desired result. It…

Answered: A shirt manufacturer buys cloth by the…

Practical Management Science

6th Edition

ISBN:9781337406659

Author:WINSTON, Wayne L.

Publisher:WINSTON, Wayne L.

Chapter2: Introduction To Spreadsheet Modeling

Section: Chapter Questions

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

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mean for samples 7,8,9 and 12 are wrong and also can you determine the UCL AND LCL for R-chart?
The accounts receivable department at Rick WingManufacturing has been having difficulty getting customers topay the full amount of their bills. Many customers complainthat the bills are not correct and do not reflect the materials thatarrived at their receiving docks. The department has decided toimplement SPC in its billing process. To set up control charts, 10samples of 50 bills each were taken over a month’s time and theitems on the bills checked against the bill of lading sent by thecompany’s shipping department to determine the number of billsthat were not correct. The results were: SAMPLENO. NO. OFINCORRECTBILLS SAMPLENO. NO. OFINCORRECTBILLS1 6 6 52 5 7 33 11 8 44 4 9 75 0 10 2a) Determine the value of p -bar, the mean fraction defective.Then determine the control limits for the p -chart using a99.73% confidence level (3 standard deviations). Has thisprocess been in control? If not, which samples were out ofcontrol?b) How might you use the quality tools discussed in Chapter 6to…
A shirt manufacturer buys cloth by the 100 yard roll from a supplier, for setting up a control chart to manage the irregularities (loose threads and tears) the following data were collected from a sample provided by the supplier. Sample 1 2 3 4 5 6 7 8 9 10 Irregularities 5 3 3 6 6 4 7 3 4 6 Determine the c, Sp UCL, for a c-chart with z= 2. Leave no blank. Round up any negative LCL value to 0 round to 2 decimals. Suppose the next five rolls from the supplier had 3, 2, 4, and 8 irregularities. Is the supplier process under control? Yes or no.
Twenty samples (K=20) of 200 observations (n = 200) were taken by an operator at a workstation in a production process. The number of defective items in each sample was recorded as follows. Sample Number of Defects 1. 12 18 10 4. 15 16 6. 19 7. 17 8 12 11 10 14 11 16 12 15 13 13 14 16 15 18 16 17 17 18 18 20 19 21 20 22 Management wants to develop ap-chart using 3-sigma limits. What is the Lower Control Limit (LCL)? (calculation 2 sig fig)
A shirt manufacturer buys cloth by the 100-yard roll from a supplier. For setting up a control chart to manage the irregularities (e.g., loose threads and tears), the following data were collected from a sample provided by the supplier. SAMPLE 1 2 3 4 5 6 7 8 9 10 IRREGULARITIES 3 5 2 6 5 4 6 3 4 5 Determine the c¯�¯ , Sc�� , UCL and LCL for a c-chart with z = 2. Note: Round your answers to 2 decimal places. Suppose the next five rolls from the supplier had three, two, five, three, and seven irregularities. Is the supplier process under control? multiple choice Yes No
A shirt manufacturer buys cloth by the roll from a supplier. For setting up a control chart to manage the irregularities (e.g., loose threads and tears), the following data were collected from a sample provided by the supplier. Sample Irregularities 1 2 2 1 3 4 4 2 5 0 6 4 7 3 8 0 9 2 10 1 Total 19 Calculate the LCL and UCL for a c-chart with z=2 LCL= 0, UCL = 4.66 LCL= 0, UCL = 3.28 LCL= -0.86, UCL = 3.28 LCL= -0.86, UCL = 3.51 LCL= -0.86, UCL = 4.66
Given the following data from 7 days. Compute, CL, UCL, and LCL of Control Charts for the following data. Day Sample Values (Group Sample Size = n = 4) 1 22 24 23 26 2 25 25 28 26 3 24 25 27 27 4 27 23 29 28 5 26 27 23 25 6 27 25 23 28 7 27 28 28 22
Hermitage DNA Labs, LLC collected temperature readings in an analysis process. The data can be found in the Problems Data Compute the mean and range of each sample and calculate control limits for x-bar and R charts using the appropriate From the charts constructed, does the process appear to be in statistical control?
Briefly explain the purpose of each of these control charts:a. x-barb. Rangec. p-chartd. c-chart
Problem 13-8 (Algo) A shirt manufacturer buys cloth by the 100-yard roll from a supplier. For setting up a control chart to manage the Irregularities (e.g., loose threads and tears), the following data were collected from a sample provided by the supplier. SAMPLE IRREGULARITIES C Sp UCL LCL 1 2 2 4 Yes O NO 3 4 5 2 5 3 a. Determine the è, Sp, UCL and LCL for a c-chart with z= 2. (Leave no cells blank. Round up any negative LCL value to "0". Round your answers to 2 decimal places.) 6 7 8 9 10 3 5 4 3 4 b. Suppose the next five rolls from the supplier had three, two, five, three, and seven Irregularities. Is the supplier process under control?
Hermitage DNA Labs, LLC collected temperature readings in an analysis process. The data can be found in the Problems Data Compute the mean and range of each sample and calculate control limits for x-bar and R charts using the appropriate From the charts constructed, does the process appear to be in statistical control?
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