Studies on a bottle-filling machine indicates it fills bottles to a mean of 16 ounces with a standard deviation of 0.10 ounces.What is the process specification, assuming the Cpk index of 1?
A)0.10 ounces
B)0.20 ounces
C)0.30 ounces
D)16.0 ounces plus or minus 0.30 ounces
E)none of the above

Question

Quizplus · Accepted Answer

To find the process specification, we need to use the formula 
Process specification = Mean +/- (Cpk * Standard deviation)

Here, Mean = 16 ounces
Standard deviation = 0.10 ounces
Cpk = 1 (given)

Substituting the values, we get 
Process specification = 16 ounces +/- (1 * 0.10 ounces)
= 16 ounces +/- 0.10 ounces

Therefore, the process specification is 16.0 ounces plus or minus 0.10 ounces, which can be represented as 16.0 ounces plus or minus 0.30 ounces (after rounding off to one decimal place). 
Hence, the best choice is D.

Studies on a Bottle-Filling Machine Indicates It Fills Bottles to a Mean