Studies on a bottle-filling machine indicate that it fills bottles to a mean of 16 ounces with a standard deviation of 0.10 ounces. What is the process specification, assuming the C_pk index of 1? A) lower spec = 0.1 ounces and upper spec = 1 ounce B) lower spec = 8.7 ounces and upper spec = 12.5 ounces C) lower spec = 12.0 ounces and upper spec = 21.4 ounces D) lower spec = 15.7 ounces and upper spec = 16.3 ounces E) lower spec = 14.3 ounces and upper spec = 17.7 ounces

Question

Quizplus · Accepted Answer

Since the C_pk index is 1, the process specification can be calculated by simply adding and subtracting one standard deviation from the mean to get the upper and lower specifications. Lower spec = 16 - (1 x 0.10) = 15.9 ounces Upper spec = 16 + (1 x 0.10) = 16.1 ounces Therefore, the answer is D) lower spec = 15.7 ounces and upper spec = 16.3 ounces.

Studies on a Bottle-Filling Machine Indicate That It Fills Bottles