1. (*) Tyler Apiaries sells bees and beekeeping supplies. Bees
(including a queen) are shipped in special packages according to weight. The target weight of a package is 1.4 kg.
Historically, Tyler’s shipments have weighed on average
1.4 kg, with a standard deviation of 0.15 kg.
a. (*) Calculate the process capability ratio, assuming that
the lower and upper tolerance limits are 1.1 kg and
1.7 kg, respectively. Is Tyler Apiaries currently able to
meet the tolerance limits 99.7% of the time?
b. (**) What would the standard deviation have to be for
Tyler Apiaries to achieve Six Sigma quality levels with
regard to the weight of the bee packages?
c. (**) The average bee weighs 0.1 grams. Use this information to convert the target package weight and
tolerance limits into number of bees for Tyler Apiaries. How might the company use this information
to better control the package weights? Should Tyler
Apiaries think about resetting the tolerance limits?