You are a manufacturing engineer assessing the production of a new smartphone component,

shareholders are demanding the company reach Six Sigma. The critical dimension for this

component is the length, and specifications require it to be between $9\mathrm{.}8$ and $10\mathrm{.}2$ millimeters. You

collected a sample of $100$ components, measured their lengths and found a mean of $9\mathrm{.}98$mm with a

standard deviation of $0\mathrm{.}054$mm$.$

Determine if this process is capable.