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 $1\mathrm{.}3kg.$ Historically, Tyler's shipments have weighed on average $1\mathrm{.}3kg,$ with a standard deviation of $0\mathrm{.}05kg.$

The lower and upper tolerance limits are $1\mathrm{.}2kg$ and $1\mathrm{.}4kg,$ respectively. The process capability ratio is $($Enter your response rounded to three decimal places.$)$

To achieve Six Sigma quality levels with regard to the weight of the bee packages, the standard deviation should be $kg.($Enter your response rounded to two decimal places.$)$