Question

Autoliv in Ogden, Utah creates airbags. The deployment time of an airbag should be between 21 and 27 milliseconds and their current average is 22 milliseconds with a standard deviation of 0.25 milliseconds. Determine the process capability index if they were to center the mean.

Answer 1

4

Step-by-step explanation:

The calculation of the process capability index is given below

Data provided in the question according to the question is as follows

USL = 27

LSL = 21

Now we take the average

X = (21 +27) ÷ 2

= 24

The standard deviation is 0.25

= min(USL - mean ÷ 3 × standard deviation , mean - LSL ÷ 3 × standard deviation)

After solving this the process capability index is 4