$3$ points

Consider an investigation into the effect of the concentration of the reactant and the amount of the catalyst on the conversion $($yield$)$ in a chemical process. The objective of the experiment was to determine if adjustments to either of these two factors would increase the yield. Let the reactant concentration be factor A and let the two levels of interest be $15$ and $25$ percent. The catalyst is factor $B,$ with the high level denoting the use of $2$ pounds of the catalyst and the low level denoting the use of only $1$ pound. The experiment is replicated three times, so there are $12$ runs. The order in which the runs are made is random. The design of the experiment is shown in the table below.

Which of the followings about this completely randomized experiment design is CORRECT?

$\backslash$table$[[$Factor$,\backslash$table$[[$Treatment$],[$Combination$]],$Replicate$],[A,B,$I,II$,$III$],[-,-,$A low, $B$ low,$28,25,27],[+,-,$A high, $B$ low,$36,32,32],[-,+,$A low, $B$ high,$18,19,23],[+,+,$A high, $B$ high,$31,30,29]]$

This is a $2^2$ factorial design. The two factors are reactant concentration and catalyst, response is yield$/$conversion$.$

This is a $2^4$ factorial design. The two factors are reactant concentration and catalyst, there are four levels for each factor.

This is a $2^3$ factorial design. The two factors are reactant concentration and catalyst, there are three levels for each factor.

This is a $4^2$ factorial design. There are four factors, and two levels for each factor.