For the experiment to Minimize the yield of popcorn = # of un-popped Kernels (2 factors and one interaction) Brand Ratio Popcorn of Oil (1) Brand x Ratio Interaction Yield (un-popped Kernels) Replication (2) (12) Test Number 1 Effect Between Within Total DOF SS ++ MS 1 4. Calculate Pooled estimate of Variance Method 1 ; Method 2 7849 3 4 Total 1. Fill in the blanks for the levels of the interaction, and calculate the Correction Factor CF 2. Complete the Anova treatment Table and determine Experiment significance Please Show Calculations. Use Assignment 3 problem 3.6 as a guide for the ANOVA. Between = Regression and Within = Error 6 a. Total Experiment: Average. 6.67 +/- b. Treatment 1 (Experiment Line 1) only (6, 5) Experiment line 1 Average. 5.0 10 243 Fratio 3 4 Iy2 52 41 64 100 257 6.67 Avg. Ey (y) V 5 10 100 2 3.67 8 10 Significant 95% Yes or No 11 121 0.33 8 64 3. Calculate the main effects and their interaction. Note some levels have more numbers than other levels. Calculate 1 = 2 = 12 = 10 100 39 6. Calculate the average, standard error (s/Vn) and 95% confidence interval for the following: Hint: several CI (+/-) are the same and one answer is intuitive. using two methods. Indicate methods (they should be equal). (Hint see assignment 3.4.e solution) 5. What levels (+ or -) would be best for lowest un-popped kernels (Yield) values? Hint: one answer is intuitive With Interaction: factor 2. Factor 1 Yield Value_ Without Interaction: Factor 1__factor 2 Yield Value (when considering line 1 only and ignoring experiment)