Solve the parts given in the question using six sigma mini tab tools.
MSE 618- Six Sigma Quality Engineering
Homework # 2 (10 points)
You work for a company that manufactures aluminum rods in the machine shop. The aluminum rods must be 601 mm +/-4 mm long to meet customer’s specifications. There has been a chronic problem with rods length being out of specifications causing high scrap and rework rates.
For a month, data was collected on the length of 30 aluminum rods in the machine shop. Also, three suppliers A, B and C that manufacture the same part, collected data on 30 aluminum rods at their own facilities (see data below).
|
Machine Shop |
Supplier A |
Supplier B |
Supplier C |
|
599 |
602.1 |
601 |
603 |
|
600 |
604.0 |
600.1 |
601 |
|
609 |
603.7 |
605.9 |
601 |
|
603 |
606.4 |
602.8 |
600 |
|
600 |
605.7 |
604 |
605 |
|
601.3 |
605.3 |
604 |
604 |
|
601.2 |
603.2 |
602 |
603 |
|
600.5 |
606.9 |
600 |
602 |
|
601.6 |
605.5 |
602.2 |
602 |
|
603 |
603.7 |
603.1 |
599 |
|
598.1 |
604.6 |
600.2 |
606 |
|
603 |
603.3 |
604 |
600 |
|
602.1 |
606.9 |
599.9 |
601 |
|
604 |
605.9 |
600 |
603 |
|
577.6 |
603.1 |
603 |
600 |
|
607 |
607.7 |
601.4 |
605 |
|
602 |
603.3 |
602.5 |
604 |
|
603 |
605.3 |
603.7 |
604 |
|
601.5 |
604.1 |
603.9 |
602 |
|
604.6 |
603.8 |
602 |
600 |
|
601.1 |
602.5 |
600 |
599 |
|
602.5 |
606.9 |
607 |
600 |
|
603.1 |
607.8 |
609 |
601 |
|
600 |
605.9 |
608 |
602 |
|
604.1 |
604.5 |
606.3 |
603 |
|
591.7 |
603.1 |
605.7 |
603 |
|
589.1 |
606.1 |
601.1 |
607 |
|
605.3 |
602.6 |
606 |
601 |
|
600.9 |
604.1 |
602 |
603 |
|
598.0 |
603.4 |
605 |
604 |
Question:
Should the company continue producing aluminum rods or buy parts from outside suppliers? You have been asked to lead a problem-solving team and recommend a solution. Hint:
You must run the following analysis, study results and make a recommendation:
· Run a normality test for the machine shop and each supplier A, B and C data set
· Perform a Process Capability Analysis for the machine shop, supplier A, B, and C
· Approximate Sigma level for the machine shop, supplier A, B and C (Use
Cpks)
· Calculate Cp to determine how much the machine shop and each supplier (A, B and C) sample is consuming out of the spec.
· Scrap cost for the machine shop and each supplier A, B and C (Use Taguchi analysis)
|
· Run ¯¯ and R chart for the machine shop, supplier A, B, and C
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