Two machines are currently in use in a process at the Dennis Kira Mfg$.$ Co$.$ The standards for this process are $LSL={\mathrm{.}420}^{\text{'}\text{'}}$ and USL$={\mathrm{.}426}^{\text{'}\text{'}}.$ Machine One is currently producing with mean $={424}^{\text{'}\text{'}}$ and standard deviation $\mathrm{.}0005".$ Machine Two is currently producing with mean ${4245}^{\text{'}\text{'}}$ and standard deviation $\mathrm{.}0004".$ 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 hashre higher capability index.