Consider a machine that fills soda bottles. The process has a mean of 15.9 ounces and a standard deviation of 0.06 ounces.

Question

The specification limits are set between 15.8 and 16.2 ounces.

a)Compute and interpret the machine’s Cp
b)Compute and interpret the machine Cpk
c)What % of the bottles will be considered under-filled?

Answer 1

I don't know what "Cp" and "Cpk" mean. It would help to spell out these concepts. However,

Z = (score-mean)/SD

Find table in the back of your statistics text labeled something like "areas under normal distribution" to find the proportions related to the Z scores.

For example:

c) Z = (15.8-15.9)/.06