What proportion of the cylinders will be nonconforming

Reference no: EM131388641

A cylindrical piece is used in an assembly in which the weight is to be controlled. The tolerances on diameter and height, on the basis of five observations, are 2 ±0.06 cm and 6 ±0.06 cm, respectively.

Assume that the dimensions are independent of each other and are each normally distributed with a capability ratio of 1. What are the natural tolerance limits on the volume of the cylinder?

If specifications on volume are 18.5 ±0.6 cm³, what proportion of the cylinders will be nonconforming, assuming normality?

What is the C_p index? If the target volume is 18.5, what is the C_pm index? Test a hypothesis to determine if C_p is less than 0.6 using α =0.05.

Reference no: EM131388641

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