Question

| options, mipttor long road trip throus about which type of chewing gum they should stock up on in preparation for a long road trip. They design an options, might be best. As part of th gum flavor, amount of gum, and chewing style. The hdecided to design an experiment to determine which, among two eir experiment, they decided to study the effects of three different factors: FACTORchewing style. The table of factors and levels are presented below. LEVELS Super Bubble Two Pieces with Mouth Closed (x1) Gum Type (x2) Amount of Gum Double Bubble One Piece Chewing Style Chewing with Mouth Open Provided is the JMP screenshot associated with their data C (ChewingLength B (Amount of Length of Flavor Style) 200 192 280 296 Pattern A Kind of Gum 241 157 152 190 221 185 166 367 337 345 360 10 12 14 . 6 Provided is one output of the JMP D.O.E. analysis. Parameter Estimates Term Intercept A (Kind of Gum) B (Amount of Gum) C (Chewing Style) Estimate Std Error tRatio Prob> It] 243.4375 8.809939 27.63 <0001 0.8125 8.809939 -0.09 0.9285 27.1875 8.809939 3.09 0.0130 27.9375 8.809939 3.17 0.0113 (Kind of Gum)'8 (Amount of Gum) 16.3125 8.809939 1.85 0.0971 A (Kind of Gum)'C (Chewing Style) B(Amount of Gurn"C (Chewing Style) 6.5625 8.809939 -0.74 0.4753 53.6875 8.809939 6.09 0.0002 a) Based on the P-values in the output, list the statistically significant main and interaction effects. Assume :0.1 4 pts) Main Effects Interaction Effects

Answer 1

Answer

Statistically significant main effect are B and C because the corresponding p values are 0.0130 and 0.0113,which are less than 0.10 significance level

And

statistically significant interaction effects are only A*B and B*C because the corresponding p values are 0.0971 and 0.0002,which are less than 0.10 significance level

So, significant effects are B,C, A*B and B*C