A company produces electronic components designed to have a collector-emitted voltage of 30 V (volts),with a tolerance of + 0.2 V.The production process produces components with an average collector-emitted voltage of 30.04 V.The process capability index is 0.6.Then the standard deviation of the collector-emitted voltages of the units produced is ______.
A)0)0889
B)0)0079
C)0)0071
D)0)0069

Question

Quizplus · Accepted Answer

The process capability index (Cpk) is a measure of how well a process is performing relative to its specification limits. It is calculated as the minimum of the upper and lower Cpk values, where the upper Cpk is calculated as (USL - mean) / 3 * sigma, and the lower Cpk is calculated as (mean - LSL) / 3 * sigma. In this case, the USL is 30.2 V, the LSL is 29.8 V, the mean is 30.04 V, and the Cpk is 0.6. Substituting these values into the formula for the upper Cpk, we get:(30.2 - 30.04) / 3 * sigma = 0.6Solving for sigma, we get:sigma = 0.00889Therefore, the standard deviation of the collector-emitted voltages of the units produced is 0.00889 V.

A Company Produces Electronic Components Designed to Have a Collector-Emitted