Problems for Section 5.4: Statistical Quality Control 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 1.5 kg. Historically, Tyler's shipments have weighed on average 1.5 kg, with a standard deviation of 0.15 kg. a. (*) Calculate the process capability ratio, assuming that the lower and upper tolerance limits are 1.2 kg and 1.75 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 informa- tion 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 re- setting the tolerance limits