A process filling small bottles with baby formula has a target of $3$ ounces $\backslash$pm $0\mathrm{.}150$ ounce Two hundred bottles from the process were sampled. The results showed the average amount of formula placed in the bottles to be $3\mathrm{.}042$ ounces. The standard deviation of th amounts was $0\mathrm{.}034$ ounce. Determine the value of $C_{pk}.$ Roughly what proportion of bottles meet the specifications?

The process capability index $(C_{pk})$ is $($round your response to three decimal places$).$

Slightly more than $\%$ of the bottles meet the specifications.