A barbecue sauce producer makes their product in an 80-ounce bottle for a specialty store. Their historical process mean has been 80 ounces and their tolerance limits are set at 80 ounces plus or minus 1 ounce. What does their process standard deviation need to be in order to sustain a process capability ratio of 1.66?
A)0.10
B)0.20
C)0.25
D)0.33

Question

Quizplus · Accepted Answer

The process capability ratio (Cp) is calculated using the formula Cp = (USL - LSL) / (6σ), where USL is the upper specification limit, LSL is the lower specification limit, and σ is the standard deviation. Given USL = 81 ounces, LSL = 79 ounces, and Cp = 1.66, solving for σ gives σ = (USL - LSL) / (6 * Cp) = (81 - 79) / (6 * 1.66) ≈ 0.20.

A Barbecue Sauce Producer Makes Their Product in an 80-Ounce