$8\mathrm{.}1$ Suppose that in the chemical process development experiment described in Problem

$6\mathrm{.}11,$ it was only possible to rus a one$-$half fraction of the $2^4$ design.

a$.$ Choose an appropriate design generator and manually construct the $2^{4-1}$ design on paper or in Excel.

b$.$ Perform the analysis for the design in $($a$)$ using Mimtab. Which factors are significant?

Data for Problem $8\mathrm{.}1$

$6\mathrm{.}11$ An experiment was performed to improve the sield of a chemical proess. Four facturs were selected, and two replicates of a completely randomized experiment were run. Results for replicate I are shown.

$\backslash$table$[[\backslash$table$[[$Treatment$],[$Combination$]],\backslash$table$[[$Yield$],[$Replicate $(1)]]],[(1),90],[a,74],[b,81],[ab,83],[c,77],[ac,81],[bc,88],[abc,73],[d,98],[ad,72],[bd,87],[abd,85],[cd,99],[acd,79],[bcd,87],[abcd,80]]$