4) A two-way ANOVA hypothesis test was used to test the effects of mold temperat

Question

4) A two-way ANOVA hypothesis test was used to test the effects of mold temperature and injection pressure on wall thickness (response "y") for an injection molding process. What conclusions can be drawn from the ANOVA table below? TWO-WAY ANOVA FOR WALL THICKNESS EXPERIMENT F p-Value 9.25 0.015 0.21 0.670 2561.17 280.58 2.71 0.145 MS 2 1918.50 959.25 21.33 21.3 Factor A (Temperature) Factor B (Pressure) AB Error Total 622.00 103.67 11 3123. A) There is a significant interaction effect between temperature & pressure B) Factor B (Pressure) has a significant effect on the wall thickness (y) C) Factor A (Temperature) has a significant effect on the wall thickness (y) D) Both factors A & B have a significant effect on the wall thickness

Explanation / Answer

C)Factor A(Temperature) has a significant effect on the wall thickness(y).

Explaination:

Based on the p-values and a significance level of 0.05,

p-Value of Factor A=0.015 which is less than 0..05 which means Factor A has a statistically significant effect on wall thickness.

p-Value of Factor B=0.670 which indicates that there is no statistically significant effect on the wall thickness.

p-Value of AB which is the interaction between Factor A and Factor B is AB=0.145 which is not significant and hence there is no significant interaction effect between temperature and pressure.

Hence we can draw the conclusion that Temperature has a significant effect on wall thickness.

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