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: Below are datasets of quality inspections for the components received from Supplier A and Supplier B. The quality characteristic measured is the tensile strength of the components (in kilonewtons per square meter, kN/m). Supplier A: 40.1, 41.2, 40.5, 39.8, 40.3, 41.0, 40.6, 39.9, 40.2, 41.1 Supplier B: 35.0, 36.2, 34.5, 35.8, 35.3, 36.0, 34.6, 35.9, 34.2, 36.1 1. Calculate Control Limits: - Compute the mean (X-bar) and standard deviation (σ) of the tensile strength measurements for each supplier. - Determine the Upper Control Limit (UCL) and Lower Control Limit (LCL) for each supplier using the mean and standard deviation. 2. Construct X-bar Chart: - Plot the tensile strength measurements for each supplier on separate time-ordered X-bar charts. - Add the UCL and LCL lines to each chart. 3. Compare the Charts: - Analyze and compare the X-bar charts for Supplier A and Supplier B. - Identify any significant differences in quality between the components received from the two suppliers. 4. Draw Conclusions: - Based on your analysis, make a recommendation regarding the selection of the supplier for sourcing the critical component. - Justify your recommendation with reference to the quality data and any other relevant factors.

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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:
Below are datasets of quality inspections for the components received from Supplier A and
Supplier B. The quality characteristic measured is the tensile strength of the components (in
kilonewtons per square meter, kN/m).
Supplier A:
40.1, 41.2, 40.5, 39.8, 40.3, 41.0, 40.6, 39.9, 40.2, 41.1
Supplier B:
35.0, 36.2, 34.5, 35.8, 35.3, 36.0, 34.6, 35.9, 34.2, 36.1
1. Calculate Control Limits:
- Compute the mean (X-bar) and standard deviation (σ) of the tensile strength measurements
for each supplier.
- Determine the Upper Control Limit (UCL) and Lower Control Limit (LCL) for each supplier
using the mean and standard deviation.
2. Construct X-bar Chart:
- Plot the tensile strength measurements for each supplier on separate time-ordered X-bar
charts.
- Add the UCL and LCL lines to each chart.
3. Compare the Charts:
- Analyze and compare the X-bar charts for Supplier A and Supplier B.
- Identify any significant differences in quality between the components received from the two
suppliers.
4. Draw Conclusions:
- Based on your analysis, make a recommendation regarding the selection of the supplier for
sourcing the critical component.
- Justify your recommendation with reference to the quality data and any other relevant factors.
Transcribed Image Text: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: Below are datasets of quality inspections for the components received from Supplier A and Supplier B. The quality characteristic measured is the tensile strength of the components (in kilonewtons per square meter, kN/m). Supplier A: 40.1, 41.2, 40.5, 39.8, 40.3, 41.0, 40.6, 39.9, 40.2, 41.1 Supplier B: 35.0, 36.2, 34.5, 35.8, 35.3, 36.0, 34.6, 35.9, 34.2, 36.1 1. Calculate Control Limits: - Compute the mean (X-bar) and standard deviation (σ) of the tensile strength measurements for each supplier. - Determine the Upper Control Limit (UCL) and Lower Control Limit (LCL) for each supplier using the mean and standard deviation. 2. Construct X-bar Chart: - Plot the tensile strength measurements for each supplier on separate time-ordered X-bar charts. - Add the UCL and LCL lines to each chart. 3. Compare the Charts: - Analyze and compare the X-bar charts for Supplier A and Supplier B. - Identify any significant differences in quality between the components received from the two suppliers. 4. Draw Conclusions: - Based on your analysis, make a recommendation regarding the selection of the supplier for sourcing the critical component. - Justify your recommendation with reference to the quality data and any other relevant factors.
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