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## MSE 618 Six Sigma Quality Engineering Homework 2 aluminum rods in the machine shop Answer

MSE 618 Six Sigma Quality Engineering Homework 2 aluminum rods in the machine shop Answer

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

MSE 618 Six Sigma Quality Engineering Homework 2 aluminum rods in the machine shop Answer