A barbecue sauce producer sells their product in a 20-ounce bottle. Their historical process mean has been 20 ounces with a standard deviation of 0.25 ounces. If their tolerance limits are set at 20 ounces plus or minus 1 ounce, what is the process capability ratio of the bottle filling process?
A)1.00
B)1.33
C)1.75
D)2.00

Question

Quizplus · Accepted Answer

Process capability ratio (PCR) is calculated as the ratio of the tolerance range to the process variability.

Tolerance range = 20 +/- 1 ounce = 19 to 21 ounces
Process variability (standard deviation) = 0.25 ounces

PCR = (Tolerance range) / (6 x Process variability)
PCR = (21 - 19) / (6 x 0.25)
PCR = 2 / 1.5
PCR = 1.33

Therefore, the process capability ratio of the bottle filling process is 1.33. This means that the process is capable of producing bottles within the tolerance range, but there is still room for improvement as the PCR is less than 2. A PCR of 1 indicates that the process variability is equal to the tolerance range, which is not desirable.

A Barbecue Sauce Producer Sells Their Product in a 20-Ounce