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svp [43]
3 years ago
13

the deployment time of an airbag should be between 21 and 27 milliseconds and their current average is 22 milliseconds with a st

andard deviation of 0.25 milliseconds. Determine the process capability index if they were to center the mean.
Business
1 answer:
alekssr [168]3 years ago
7 0

Answer:

4.00

Explanation:

Given:

Upper Specification Limit, USL = 27

Lower Specification Limit, LSL = 21

Mean = 22

Standard deviation, \sigma = 0.25

Required:

Find the process capability index

First center the mean by taking the average of the LSL and USL.

X = \frac{21 + 27}{2}

\frac{48}{2} = 24

X = 24

Use formula below to find process capability index:

C_p_i = min [(\frac{USL - X}{3*\sigma}), (\frac{X - LSL}{3*\sigma})]

C_p_i = min [(\frac{27 - 24}{3*0.25}), (\frac{24 - 21}{3*0.25})]

= min [(\frac{3}{0.75}), (\frac{3}{0.75})]

min [ (4.00), (4.00)]

We are sullosed to take the minimum value, but since both values are equal, our process capability index will be 4.00

Therefore, the process capability index = 4.00

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