Use Table $9\mathrm{.}1$ to solve the problem. Consider again that the company making tires for bikes is concerned about the exact width of its cyclocross tires. The company has a lower specification limit of $22\mathrm{.}8mm$ and an upper specification limit of $23\mathrm{.}2mm.$ The standard deviation is $0\mathrm{.}15mm$ and the mean is $23mm.$ The company now wants to reduce its defect probability to $1\%.$ To what level would it have to reduce the standard deviation in the process to meet this target?

$0\mathrm{.}076923$

$0\mathrm{.}083333$

between $0\mathrm{.}076923$ and $0\mathrm{.}08333$

between $0\mathrm{.}80000$ and $0\mathrm{.}86667$