A cutting process has an upper specification of $1\mathrm{.}616$ feet and a lower specification of $1\mathrm{.}52$ feet. A sample of parts had a mean of $1\mathrm{.}6$ feet with a standard deviation of $0\mathrm{.}033$ feet.

Round your answer to five decimal places.

What standard deviation will be needed to achieve a process capability index of $2\mathrm{.}0?$

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