Question 5: Problem Statement: An automotive company is evaluating two different suppliers for sourcing engines for their new vehicle model. The company aims to select the supplier that provides engines with lower specific fuel consumption (SFC) to improve the vehicle's fuel efficiency and reduce operating costs. Your task is to compare the SFC of engines received from two suppliers and provide recommendations based on your analysis. Data: Below are datasets of specific fuel consumption (SFC) measurements for the engines received from Supplier X and Supplier Y. The SFC is measured in grams per kilowatt-hour (g/kWh). Supplier X: 195, 200, 192, 205, 198, 202, 190, 208, 200, 194 Supplier Y: 185, 190, 183, 188, 186, 195, 180, 200, 190, 187 1. Calculate Control Limits: - Compute the mean (X-bar) and standard deviation (σ) of the SFC 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 SFC 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 X and Supplier Y. - Identify any significant differences in engine quality based on specific fuel consumption. 4. Draw Conclusions: - Based on your analysis, make a recommendation regarding the selection of the supplier for sourcing the engines based on fuel efficiency. - Justify your recommendation with reference to the SFC data and any other relevant factors.

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Question 5:
Problem Statement:
An automotive company is evaluating two different suppliers for sourcing engines for their new
vehicle model. The company aims to select the supplier that provides engines with lower specific
fuel consumption (SFC) to improve the vehicle's fuel efficiency and reduce operating costs. Your
task is to compare the SFC of engines received from two suppliers and provide recommendations
based on your analysis.
Data:
Below are datasets of specific fuel consumption (SFC) measurements for the engines received
from Supplier X and Supplier Y. The SFC is measured in grams per kilowatt-hour (g/kWh).
Supplier X:
195, 200, 192, 205, 198, 202, 190, 208, 200, 194
Supplier Y:
185, 190, 183, 188, 186, 195, 180, 200, 190, 187
1. Calculate Control Limits:
- Compute the mean (X-bar) and standard deviation (σ) of the SFC 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 SFC 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 X and Supplier Y.
- Identify any significant differences in engine quality based on specific fuel consumption.
4. Draw Conclusions:
- Based on your analysis, make a recommendation regarding the selection of the supplier for
sourcing the engines based on fuel efficiency.
- Justify your recommendation with reference to the SFC data and any other relevant factors.
Transcribed Image Text:Question 5: Problem Statement: An automotive company is evaluating two different suppliers for sourcing engines for their new vehicle model. The company aims to select the supplier that provides engines with lower specific fuel consumption (SFC) to improve the vehicle's fuel efficiency and reduce operating costs. Your task is to compare the SFC of engines received from two suppliers and provide recommendations based on your analysis. Data: Below are datasets of specific fuel consumption (SFC) measurements for the engines received from Supplier X and Supplier Y. The SFC is measured in grams per kilowatt-hour (g/kWh). Supplier X: 195, 200, 192, 205, 198, 202, 190, 208, 200, 194 Supplier Y: 185, 190, 183, 188, 186, 195, 180, 200, 190, 187 1. Calculate Control Limits: - Compute the mean (X-bar) and standard deviation (σ) of the SFC 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 SFC 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 X and Supplier Y. - Identify any significant differences in engine quality based on specific fuel consumption. 4. Draw Conclusions: - Based on your analysis, make a recommendation regarding the selection of the supplier for sourcing the engines based on fuel efficiency. - Justify your recommendation with reference to the SFC data and any other relevant factors.
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