In: Statistics and Probability
A company produces small engines for regular cars, and it
decides to produce a larger engine...
- A company produces small engines for regular cars, and it
decides to produce a larger engine that will be used for trucks. As
the company has never produced this kind of engine, a specific
piston ring size needs to be purchased in order to produce the new
engine. Assume that you are responsible for the procurement of that
piston ring from three different suppliers. The inside diameter
length of the piston has been determined as a quality
characteristic with a specification of 1.500±0.009 inches. The
statistical process control studies done by the suppliers have
indicated that their processes are in control with the following
process parameters.
Supplier
1; X=1.500
inches
σx=0.003 inches
Supplier
2; X=1.500
inches
σx=0.0022 inches
Supplier
3; X=1.4950
inches
σx=0.0015 inches
Which supplier would you purchase
from, why? Explain your logic and show calculations and graphical
evidence to back it up.
- Draw the approximate relative graphs for each supplier,
assuming the diameters are normally distributed
- Support your answers with process capability index (Cpk) and
process capability ratio (Cp) for the three suppliers?