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Abstract The present Chapter focuses on metric and English measuring systems used throughout the world. The metric system is universally used in most scientific applications, but it has some limitations. Tolerance is the amount of variation permitted in the part or the total variation allowed in a given dimension. Dimensions given close tolerances mean that the part must fit properly with some other part. Both must be given tolerances in keeping with the allowance desired, the manufacturing processes available, and the minimum cost of production and assembly that will maximize profit. The study represents all relevant steps of quality control that enable to sample the parts being produced in a mathematical manner and to determine whether the entire stream of production is acceptable, provided that the company is willing to allow up to a certain known number of defective parts. Statistical theory also gives the expected relationship among the control limits, the capability limits, and assumed tolerance limits for a machine that is capable of producing the product with this specified tolerance. The interrelationship of tolerances of assembled products and control charts for attributes have been discussed comprehensively. Various plans from defense department have been discussed which are based on the acceptance quality level concept.
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