The process engineers have designed our drink process with an upper spec or tolerance of 46 ounces and a lower spec or tolerance of 42 ounces. I wonder what our process capability really is? I've been reading about Six Sigma, it would be fantastic if we could add  that to our already fantastic slogan regarding this new beverage!" • Calculate the process capability (Cp and Cpk) Cp = (USL – LSL) / (6 x sigma)  Where: USL= Upper Specification Limit or Tolerance LSL = Lower Specification limit or Tolerance Cpk is the capability the process is achieving whether or not the mean is centered between the  specification limits. Process Capability Formulas:

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
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Chapter4: Eigenvalues And Eigenvectors
Section4.6: Applications And The Perron-frobenius Theorem
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The process engineers have designed our drink process with an upper spec or tolerance of
46 ounces and a lower spec or tolerance of 42 ounces. I wonder what our process
capability really is? I've been reading about Six Sigma, it would be fantastic if we could add 
that to our already fantastic slogan regarding this new beverage!"
• Calculate the process capability (Cp and Cpk)
Cp = (USL – LSL) / (6 x sigma) 
Where:
USL= Upper Specification Limit or Tolerance
LSL = Lower Specification limit or Tolerance
Cpk is the capability the process is achieving whether or not the mean is centered between the 
specification limits.
Process Capability Formulas:

 

 

X - LSL USL - X
30 est
30 est
USL LSL
Cpk = min
60 est
o
or Sigma Hat or est (Sample sigma) = Rbar / d2
(where Rbar = Average Range and d2 = statistical constant)
Cp
> 1.67
Cpk > 1.67
^
Capable,
Centered
LSL
USL
u
N
Cpk < 1.00
Not Capable,
Centered
USL
LSL
Cp =
LSL
USL
USL
Cpk < 1.00
Capable.
Not Centered
Cp < 1.00
Not Capable,
Not Centered
Transcribed Image Text:X - LSL USL - X 30 est 30 est USL LSL Cpk = min 60 est o or Sigma Hat or est (Sample sigma) = Rbar / d2 (where Rbar = Average Range and d2 = statistical constant) Cp > 1.67 Cpk > 1.67 ^ Capable, Centered LSL USL u N Cpk < 1.00 Not Capable, Centered USL LSL Cp = LSL USL USL Cpk < 1.00 Capable. Not Centered Cp < 1.00 Not Capable, Not Centered
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