EXECUTIVE SUMMARY
Tiger Tools company, a subsidiary of the Drillmore Industries, was about to launch a new product. In this regard, the Production Manager asked her assistant Jim Peterson to evaluate the capability of the existing equipment used in the process. He proceeded to obtain eighteen random samples and the results of these samples were put in a table. His subsequent conclusion after analyzing the data would be that the process was not capable. This was on the basis of the width specification of 1.44 cm.
Given the ambition that the company had, of introducing the new product, using the same equipment, this analysis proved a major setback. This is despite the fact that the Production Manager had hoped that the new product would
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Also, we evaluate the extent to which the samples and methods used are able to capture the random changes realized in the data obtained.
Finally, we determine and recommend what would have been the best techniques to use, in terms of the selection of samples and choice of the sample size in determining the capability and the capability potential of the equipment and production process.
ANALYSIS
Evaluating the first data set from the table, for n = 20, A2 = 0.18. Using the hint provided, the estimated standard deviation is 0.234. The process capability as obtained is 1.03. This is below 1.33, which means that the process is not capable.
As a production manager, Michelle York was disappointed with this conclusion and decided to consult a professor on the best solution to this dilemma, after futile efforts to establish a sampling technique that would yield the desired improvement and results. Previously, the samples were carried under different settings since the company had to freeze on capital expenditures of a significant amount, and still, the replacement would have cost many times that amount. The professor’s advice was that the company should have used smaller sample sizes and taken more samples. After conferring with the professor, the company took twenty seven samples of five observations each. In their second sampling, the company got results with a sample mean range that indicated less deviation.
As is norm, the size of the
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may have used various techniques such as the quality, cost, time triangle to make a decision
* A review of three different selection methods that can be used, and when it is appropriate to use them.
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