Question 3: Problem Statement: In the textile manufacturing industry, ensuring the quality of fabric rolls is crucial to meet customer requirements and maintain product consistency. Your task is to perform Acceptance Sampling analysis on a dataset of fabric quality inspections and draw conclusions based on your analysis. Data: Below is a dataset of fabric tensile strength measurements (in kilonewtons per meter, kN/m) collected from a sample of fabric rolls produced in a textile manufacturing facility: 35.2, 34.8, 35.0, 35.1, 35.3, 35.0, 35.2, 34.9, 35.1, 35.0, 34.9, 35.2, 35.1, 35.3, 35.0, 35.2, 34.9, 35.1, 35.0, 35.2 1. Calculate Control Limits: - Compute the mean (X-bar) and standard deviation (σ) of the tensile strength measurements. - Determine the Upper Control Limit (UCL) and Lower Control Limit (LCL) using the mean and standard deviation. 2. Construct X-bar Chart: - Plot the tensile strength measurements on a time-ordered X-bar chart. - Add the UCL and LCL lines to the chart. 3. Analyze the Chart: - Interpret the X-bar chart by examining the plotted data points relative to the control limits. - Identify any points that fall outside the control limits or exhibit unusual patterns. 4. Draw Conclusions: - Based on your analysis, make a decision regarding the acceptance of the fabric rolls based on the Acceptance Sampling plan. - Provide recommendations for further action if necessary.
Question 3: Problem Statement: In the textile manufacturing industry, ensuring the quality of fabric rolls is crucial to meet customer requirements and maintain product consistency. Your task is to perform Acceptance Sampling analysis on a dataset of fabric quality inspections and draw conclusions based on your analysis. Data: Below is a dataset of fabric tensile strength measurements (in kilonewtons per meter, kN/m) collected from a sample of fabric rolls produced in a textile manufacturing facility: 35.2, 34.8, 35.0, 35.1, 35.3, 35.0, 35.2, 34.9, 35.1, 35.0, 34.9, 35.2, 35.1, 35.3, 35.0, 35.2, 34.9, 35.1, 35.0, 35.2 1. Calculate Control Limits: - Compute the mean (X-bar) and standard deviation (σ) of the tensile strength measurements. - Determine the Upper Control Limit (UCL) and Lower Control Limit (LCL) using the mean and standard deviation. 2. Construct X-bar Chart: - Plot the tensile strength measurements on a time-ordered X-bar chart. - Add the UCL and LCL lines to the chart. 3. Analyze the Chart: - Interpret the X-bar chart by examining the plotted data points relative to the control limits. - Identify any points that fall outside the control limits or exhibit unusual patterns. 4. Draw Conclusions: - Based on your analysis, make a decision regarding the acceptance of the fabric rolls based on the Acceptance Sampling plan. - Provide recommendations for further action if necessary.
Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter4: Eigenvalues And Eigenvectors
Section4.6: Applications And The Perron-frobenius Theorem
Problem 22EQ
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Question 3:
Problem Statement:
In the textile manufacturing industry, ensuring the quality of fabric rolls is crucial to meet
customer requirements and maintain product consistency. Your task is to perform Acceptance
Sampling analysis on a dataset of fabric quality inspections and draw conclusions based on your
analysis.
Data:
Below is a dataset of fabric tensile strength measurements (in kilonewtons per meter, kN/m)
collected from a sample of fabric rolls produced in a textile manufacturing facility:
35.2, 34.8, 35.0, 35.1, 35.3, 35.0, 35.2, 34.9, 35.1, 35.0,
34.9, 35.2, 35.1, 35.3, 35.0, 35.2, 34.9, 35.1, 35.0, 35.2
1. Calculate Control Limits:
- Compute the mean (X-bar) and standard deviation (σ) of the tensile strength measurements.
- Determine the Upper Control Limit (UCL) and Lower Control Limit (LCL) using the mean
and standard deviation.
2. Construct X-bar Chart:
- Plot the tensile strength measurements on a time-ordered X-bar chart.
- Add the UCL and LCL lines to the chart.
3. Analyze the Chart:
- Interpret the X-bar chart by examining the plotted data points relative to the control limits.
- Identify any points that fall outside the control limits or exhibit unusual patterns.
4. Draw Conclusions:
- Based on your analysis, make a decision regarding the acceptance of the fabric rolls based on
the Acceptance Sampling plan.
- Provide recommendations for further action if necessary.
Question 4:
Problem Statement:
A company is considering sourcing a critical component from two different suppliers. It's
essential to assess the quality of the components received from each supplier to make an
informed sourcing decision. Your task is to compare the quality of the components received from
the two suppliers and provide recommendations based on your analysis.
Data:
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VIEWStep 2: Compute the mean and standard deviation(σ) of the fabric tensile strength measurements.
VIEWStep 3: Determine upper control limit(UCL) and lower control limit(LCL) using mean and standard deviation.
VIEWStep 4: Construct X-bar chart for the obtained UCL and LCL lines.
VIEWStep 5: Interpret the X-bar chart by examining the plotted data points relative to the control limits.
VIEWStep 6: Make a decision regarding the acceptance of fabric rolls.
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