statistics
posted by Paul .
Consider a machine that fills soda bottles. The process has a mean of 15.9 ounces and a standard deviation of 0.06 ounces.
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 underfilled?

I don't know what "Cp" and "Cpk" mean. It would help to spell out these concepts. However,
Z = (scoremean)/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 = (15.815.9)/.06