Factorial design 2K (use MINITAB) A dairy company has had problems with the viscosity of a certain chocolate drink. It is believed that with three ingredients that are added in small quantities this...


Factorial design 2K (use MINITAB)<br>A dairy company has had problems with the viscosity of a certain chocolate drink. It is<br>believed that with three ingredients that are added in small quantities this problem can be<br>solved, so it is necessary to explore the situation; for this run an experiment 2 to 3 with<br>two replicas. The results obtained are as follows:<br>INGREDIENT A<br>INGREDIENT B<br>INGREDIENT C<br>VISCOSITY<br>-1<br>-1<br>-1<br>13.3<br>13.9<br>+1<br>-1<br>-1<br>14.7<br>14.4<br>-1<br>+1<br>-1<br>14.6<br>14.9<br>+1<br>+1<br>-1<br>14.3<br>14.1<br>-1<br>-1<br>+1<br>16.9<br>17.2<br>+1<br>-1<br>+1<br>15.5<br>15.1<br>-1<br>+1<br>+1<br>17.4<br>17.1<br>+1<br>+1<br>+1<br>18.9<br>19.2<br>a) Estimate all possible effects and state which are significant.<br>b) Perform variance analysis of these data and draw general conclusions.<br>c) Interpret significant effects in detail.<br>d) Is there a winning treatment to minimize?<br>

Extracted text: Factorial design 2K (use MINITAB) A dairy company has had problems with the viscosity of a certain chocolate drink. It is believed that with three ingredients that are added in small quantities this problem can be solved, so it is necessary to explore the situation; for this run an experiment 2 to 3 with two replicas. The results obtained are as follows: INGREDIENT A INGREDIENT B INGREDIENT C VISCOSITY -1 -1 -1 13.3 13.9 +1 -1 -1 14.7 14.4 -1 +1 -1 14.6 14.9 +1 +1 -1 14.3 14.1 -1 -1 +1 16.9 17.2 +1 -1 +1 15.5 15.1 -1 +1 +1 17.4 17.1 +1 +1 +1 18.9 19.2 a) Estimate all possible effects and state which are significant. b) Perform variance analysis of these data and draw general conclusions. c) Interpret significant effects in detail. d) Is there a winning treatment to minimize?

Jun 02, 2022
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