Statistics

Statistics

JohnniesAreBest is the maker of a certain cereal.  Consumer reports has just published an article that shows that they frequently have less than 16 ounces of cereal in a box. Let’s assume that the government says that they must be within ± 5 percent of the weight advertised on the box. TommiesAreBest goes out and buys 1,000 boxes of cereal and find that they weigh an average of 15.875 ounces with a standard deviation of .529 ounces.

a.    Calculate the Process Capability Index
b.    What does this Cpk mean?
c.    What is the probability of JohnniesAreBest producing a defective product?