Studies on a bottle$-$filling machine indicate that it fills bottles to a mean of $16$ ounces with a standard deviation of $0\mathrm{.}10$ ounces. What is the process specification, assuming the $C_{pk}$ index of $1?$

lower spec $=8\mathrm{.}7$ ounces and upper spec $=12\mathrm{.}5$ ounces

lower spec $=15\mathrm{.}7$ ounces and upper spec $=16\mathrm{.}3$ ounces

lower spec $=0\mathrm{.}1$ ounces and upper spec $=1$ ounce

lower spec $=12\mathrm{.}0$ ounces and upper spec $=21\mathrm{.}4$ ounces

lower spec $=14\mathrm{.}3$ ounces and upper spec $=17\mathrm{.}7$ ounces