Question $4(20$ points$)$

As a plant engineer, you are testing a new drying procedure for the plant. Two options exist: A and B$.$ Option A is currently in place, while option B is a faster new method. The criterion for implementation is that the quality of the material being dried should not decrease by more than $0\mathrm{.}1$ at an $=0\mathrm{.}05.$ This value has been determined based on a cost$-$benefit analysis of the costs of drying compared with the costs of production. Determine if option B should be implemented.

$\backslash$table$[[\backslash$table$[[$Production quality,$],[$Option A$]],\backslash$table$[[$Production quality,$],[$Option B$]]],[95\mathrm{.}6,89\mathrm{.}2],[97\mathrm{.}3,94\mathrm{.}2],[95\mathrm{.}6,93\mathrm{.}9],[95\mathrm{.}4,93\mathrm{.}2],[99\mathrm{.}4,94\mathrm{.}7],[97\mathrm{.}2,91\mathrm{.}7],[92\mathrm{.}2,93\mathrm{.}2],[92\mathrm{.}8,92\mathrm{.}4],[94\mathrm{.}3,91\mathrm{.}8],[92\mathrm{.}6,91\mathrm{.}5]]$