Tyler Apiaries sells bees and beekeeping suppliers. Bees $($ including the queen $)$ ?are shipped

in special packages according to weight. The target weight of a package is $1\mathrm{.}4$ kg $.$ ?Historically,

Tyler $$ s shipments have weighted on average $1\mathrm{.}4$ kg $,$ ?with a standard deviation of $0\mathrm{.}15$ kg $.$ ?The

?lower and upper specification limit are $1\mathrm{.}1$ kg and $1\mathrm{.}7$ kg respectively. a $.$ ?According to the Cpk statistics, is Tyler Apiaries currently able to meet the standard of k $=3?$

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? $($ Hint: Cpk statistics $=1)$