The accompanying data resulted from an experiment to investigate whether yield from a certain chemical process depended either on the formulation of a particular input or on mixer speed. Speed 60 70 189.7 185.1 189.0 1 188.6 179.4 193.0 190.1 177.3 191.1 3:41 Formulation 165.1 161.7 163.3 2 165.9 159.8 166.6 167.6 161.6 170.3 80 A statistical computer package gave SS(Form) = 2253.44, SS(Speed) = 230.81, SS(Form Speed)= 18.58, and SSE = 71.87. (a) Does there appear to be interaction between the factors? Yes, there appears to be nteraction between the two factors. O No, there appears to be no interaction between the two factors. (b) Does yield appear to depend on either formulation or speed? Only formulation appears to have a highly statistically significant effect on yield. Only speed appears to have a highly statistically significant effect on yield. O Both formulation and speed appear to have a highly statistically significant effect on yield. Neither have a statistically significant effect on yield. ✓ (c) Calculate estimates of the main effects. (Let Factor A= formulation and Factor B= speed.) a₁ = â₂ = Â₁ = B₂ =
The accompanying data resulted from an experiment to investigate whether yield from a certain chemical process depended either on the formulation of a particular input or on mixer speed. Speed 60 70 189.7 185.1 189.0 1 188.6 179.4 193.0 190.1 177.3 191.1 3:41 Formulation 165.1 161.7 163.3 2 165.9 159.8 166.6 167.6 161.6 170.3 80 A statistical computer package gave SS(Form) = 2253.44, SS(Speed) = 230.81, SS(Form Speed)= 18.58, and SSE = 71.87. (a) Does there appear to be interaction between the factors? Yes, there appears to be nteraction between the two factors. O No, there appears to be no interaction between the two factors. (b) Does yield appear to depend on either formulation or speed? Only formulation appears to have a highly statistically significant effect on yield. Only speed appears to have a highly statistically significant effect on yield. O Both formulation and speed appear to have a highly statistically significant effect on yield. Neither have a statistically significant effect on yield. ✓ (c) Calculate estimates of the main effects. (Let Factor A= formulation and Factor B= speed.) a₁ = â₂ = Â₁ = B₂ =
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.1: Measures Of Center
Problem 9PPS
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