Two machines are currently in use in a process at the Dennis Kira Mfg$.$ Co$.$ The standards for this process are $LSL={0\mathrm{.}400}^{\text{'}\text{'}}$ and USL$={0\mathrm{.}403}^{\text{'}\text{'}}.$ Machine One is currently producing with mean $0\mathrm{.}401"$ and standard deviation $0\mathrm{.}0004".$ Machine Two is currently producing with mean ${0\mathrm{.}4015}^{\text{'}\text{'}}$ and standard deviation ${0\mathrm{.}0005}^{\text{'}\text{'}}.$ Which machine has the higher capability index?

Machine one has an index of $($round your response to two decimal places$).$

Machine Two has an index of $($round your response to two decimal places$).$

Machine has the higher capability index.