A certain product has been statistically controlled at a process average of $36\mathrm{.}0$ and a standard deviation of $1\mathrm{.}00.$ The product is presently being sold to two users who have different specification requirements. User A has established a specification of $38\mathrm{.}0+-4\mathrm{.}0$ for the product, and user B has specification of $36\mathrm{.}0+-4\mathrm{.}0.$

$(12)$

$($i$)$ Based on the present process setup, what percent of the product produced will not meet the specification set by user A$?$

$($ii$)$ What percent of the product will not meet the specification of user B$?$

$($iii$)$ Assuming that the two users' needs are equal, a suggestion is made to shift the process target to $37\mathrm{.}0.$ At this suggested value, what percent of the product will not meet the specifications of user A$?$

$($iv$)$ At the suggested process targei, what percent of the product will not meet the specification of user B$?$

$($v$)$ Do you think that this shift to a frocess target of $37\mathrm{.}0$ would be desirable? Explain your answer.

$($Given that $(-2)=0\mathrm{.}0228,(-3)=0\mathrm{.}00135,(3)=0\mathrm{.}99865)$