A precision parts manufacturer produces bolts for use in military aircraft.The specifications for bolt length are 37.50 ± 0.25 cm.The company has established an $ \bar{x} $ -chart and an R-chart using samples of size five.The center lines for the $ \bar{x} $ -chart and R-chart are set at 35.25 cm and 1.08 cm,respectively.What is the value of Cp for this process?
A)1.333
B)0.179
C)0.301
D)0.166

Question

Quizplus · Accepted Answer

Cp = (USL - LSL)/(6*sigma) = (37.75 - 37.25)/(6*0.25) = 0.166
Since the Cp value is less than 1, the process is not capable of producing within the specification limits. A Cp value less than 1 indicates that the process spread is too wide compared to the specification width. Therefore, the best choice is B.

A Precision Parts Manufacturer Produces Bolts for Use in Military xˉ \bar{x} xˉ

A Precision Parts Manufacturer Produces Bolts for Use in Military $\bar{x}$