K-Log produces cereals that are sold in boxes labeled to contain390 grams. If the cereal content is below 390 grams, K-Log mayinvite auditor’s scrutiny. Filling much more than 390 grams coststhe company since it essentially means giving away more of theproduct. Accordingly, K-Log has set specification limits at 400 10grams for the weight of cereal boxes. Currently a filling machinefills the boxes. The boxes weigh on average 380 grams with astandard deviation of 20 grams.
a). Determine the process capability Cp ratio and theprocess capability index Cpk.
b). Briefly comment on the implication of your finding in parta).
c). Calculate the probability that a randomly selected cerealbox will not conform to specifications.
d). For a process capability index of 2, determine what processtargets (in terms of mean and standard deviation of thefilling process) are needed. (Hint: What are the required processcharacteristics to achieve 6-sigma?)
