A process producing machined parts is being studied. Based on the control chart analysis, the process is said to be in control with respect to the critical dimension of this part. The centerlines for the $x-$bar and $R$ control charts were $210$ and $7\mathrm{.}5$ respectively. The subgroup size used for constructing control charts was $3.$ The specification for this critical dimension is $212+-14$ units. Is this process capable? Use process capability index calculations to justify your answer. Assume that the data follows a normal distribution.

$=\frac{2}{0}$

$LCL=212-14=226$

$UC=212+17=226$