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 has a standard deviation of 0.15 V and a process capability index of 0.4.Then the average collector-emitted voltage of the units produced is ______.
A)29.98
B)30.01
C)30.02
D)30.04

Question

Quizplus · Accepted Answer

The target value for the collector-emitted voltage is 30 V. The tolerance is + 0.2 V, which means that the acceptable range is from 29.8 V to 30.2 V. The process capability index (Cpk) is 0.4, which indicates that the process is not capable of producing components within the acceptable range consistently.

Assuming that the distribution of collector-emitted voltage is normal, we can use the following formula to calculate the average (mean) of the distribution:

Mean = Target value + (Process capability index) * Tolerance / 6

Mean = 30 + (0.4) * 0.2 / 6 = 30.02

Therefore, the average collector-emitted voltage of the units produced is 30.02 V, which is closest to choice C (30.02).

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