I don't understand how they got 3signma from Cp=0.6
Studies on a bottle-filling machine indicates it fill bottles to a mean of 16 ounces with a standard deviation of 0.10 ounces. What is/are the process specification(s), assuming the Cp index of 1?
Select one:
a. 0.60 ounces
b. 16.0 ounces plus or minus 0.30 ounces
c. 16.0 ounces
d. none of the choices
e. 0.10 ounces
Cp index = ( Higher specification – Lower specification ) / 6 x standard deviation
Since , standard deviation = 0.10 ounce
Higher specification – Lower specification = 6 x 0.1= 0.6
Thus spread around each side of man = 0.6 /2 = 0.3
Process mean = 16 ounce
Therefore, process specification = 16 ounce plus minus 0.3 ounce
Answer : b) 16 ounce plus or minus 0.3 ounce
I don't understand how they got 3signma from Cp=0.6 Studies on a bottle-filling machine indicates it...
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