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)

 X

·         Run  ¯¯ and R chart for the machine shop, supplier A, B, and C

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