# Answered Essay: ColaCo has a target of 16.00 ounces of liquid for each of their cans of soda. The current process is

ColaCo has a target of 16.00 ounces of liquid for each of their cans of soda. The current process is producing cans of soda with a mean of 15.97 ounces and a standard deviation of .04 ounces. What is the process capability if the upper tolerance limit is 16.1 and the lower tolerance limit is 15.9 ounces assuming a 99.7% quality level is required (+/- 3 standard deviations)? Is the process capable? The process capability is?

Mean (M) = 15.97

Standard deviation (s) = 0.04

UCL = 16.1

LCL = 15.9

Target (T) = 16

As the process is not cantered, Process capability will be determined using Cpk as:

Cpk = Min((UCL-Mean)/3s,(Mean-LCL)/3s)

Cpk = Min((16.1-15.97)/(3*0.04),(15.97-15.9)/(3*0.04))

Cpk = Min(1.08,0.58) = 0.58

For 3 sigma process which is 99.7%, Cpk must be greater than 1.33

As the Cpk value is lower, process is not capable

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