Problem #2 (10 Points): A factorial experiment with two replicates is conducted

Question

Problem #2 (10 Points): A factorial experiment with two replicates is conducted to study the effects of harod concentration in raw pulp, the vat pressure and the cooking time of the pulp on the strengthofthepaper. The dataaresumim rzed inthefollowingtable. Percentage Cooking Time 3.0 Hours Cooking Time 4.0 Hours of Hardwood Concentration Pressure 400 196.6 196.0 500 197.7 196.0 650 199.8 199.4 400 198.4 199.6 200.6 198.6 2004 2009 198.5 196.0 1984 197.5 1987 1996 197.2 196.9 197.6 198 981990 1975 1956 1974 197.6 1970 198.5 Portions of the Minitab results are given below, at risk of 5%- Analysis of Variance Source DF Ad SS Adj MS F-Value P.Value 2 7.764 38819 1062 0001 1 20250 202500 55.40 0000 2 19374 96869 2650 0000 2 2082 10408 285 0084 4 6091 15228 417 0015 2 2195 10975 300 0075 Percentage of Hardwood Cooking Time Time Percentage of Hardwood'Cooking T Percentage of Hardwood Pressure Cooking Time Pressure Percentage of Hardwood*Cooking Time Pressure Error Total 4 1973 04933 135 0290 18 6.580 0.3656 35 66.309 Part (a) (3 Points): At risk of5%, which main effects and interactions are significant? Explain why in up to two sentences.

Explanation / Answer

Result:

a).

the p values for the following variables are < 0.05 level. Theses are significant.

The main effects percentage of hardwood, cooking time, pressure and interaction of percentage of hardwood and pressure.

b).

The points are not falls in a straight line pattern. There is some deviation from the diagonal line. The normality assumption is violated.

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