Sperry, InG an equipment manufacturer in Philadelohila, has submitted a sample water pressure control valve to improve flow capability in the manufacturing process. Your process engineering department has conducted experiments and found that the valve has a mean $()$ or $50\mathrm{.}22ps$ and a standard deviation $(o)$ of $\mathrm{.}05.$ Your desired performance is $=50+-30,$ where $o=112.$

a$.$ What is the specification index of the Sperry valve?

b$.$ Does this meet process specifications?