Question

Please use Minitab if possible, thank you!

1. (2.5 points) The percentage of hardwood concentration in raw pulp, the vat pressure, and the cooking time of the pulp are being investigated for their effects on the strength of paper. Three levels of hardwood concentration, three levels of pressure, and two cooking times are selected. A factorial experiment with two replicates is conducted, and the following data are obtained Percentage of Hardwood Concentration Cooking Time 3.0 Hours Cooking Time 4.0 Hours Pressure Pressure 400 196.6 196 500 197.7 196 650 199.8 199.4 400 198.4 198.6 650 200.6 200.9 500 199.6 200.4 198.5 196 198.4 197.5 198.7 199.6 197.2 196.9 197.6 198.1 198 199 197.5 195.6 197.4 197.6 197 198.5 196.6 196.2 198.1 198.4 197.8 199.8 (a) Analyze the data and draw conclusions. Use α-0.05 (b) Prepare appropriate residual plots and comment on the model's adequacy (c) Under what set of conditions would you run the process? Why?

Answer 1

in the R statisticaf oftwore > head!七t) anla Cookin Pre trey Te sSure 46o 1946.6 2 2 3 5DO 197. 7 50。196.0 600 199.8 6oo 194.4 3 2 2. 2 2 3 st Cooks as factor sCook > tt与Pressure <-as.facto.(ttmessore) Strength- aov 4- oov Strerth.

Urm Df laridvood Cooting Residuals |30 |19.1933 | 0, 6398 sig niP. Codes o o.00 o.oel Each of the feay is 8.8UT2- | 4,4236. - 16 914 310.00 3392 -06 1. 2. | 10: (869 115.92 2611-qSTeo5 -05 ure 20, 3139 0.05, 0-1 소

Nomal plot of residuals Residuals vs Predicted 0.15 95 0075 80 70 25 325 E01 10 0075 ง.15 0.15 0075 25326E-0140075 0.15 90 00 9021 90.43 90 85 Predictd

Resiauais vs Pressure Residuals vs. Temperature 0.15 0.15 0075 0075 2626E01 25 95 E01 0075 0.075 0.15 0.15 2 2 P ressir Te m pe rat re

NOTEh ANoVA for the actorial experiment pesformeet in tho Statistica Seftuw, then x have Corita in R code