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.
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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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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