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For the experiment to Minimize the yield of popcorn = # of un-popped Kernels (2 factors and one interaction) Brand Ratio Brand*Ratio Yield (un-popped Kernels)

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For the experiment to Minimize the yield of popcorn = # of un-popped Kernels (2 factors and one interaction) Brand Ratio Brand*Ratio Yield (un-popped Kernels) Test Popcorn of Oil Interaction Replication Number (1 (2) (12) 2 EY2 Avg. Ey (Ev)2 V 52 5 10 100 + 41 4.5 9 81 0.5 + 64 8 64 + + 4 No 4 Total 161 4.875 29 841 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. Effect DoF SS MS F ratio Significant 95% Between Yes or No =Regression Within =Error Total 3. Calculate the main effects and their interaction. Note some levels have more numbers than other levels. Calculate 1 = 2 = 12 = 4. Calculate Pooled estimate of Variance using two methods. Indicate methods (they should be equal). Method 1 : Method 2 5. What levels (+ or -) would be best for lowest un-popped kernels (Yield) values? Hint: one answer is intuitive With Interaction: Factor 1 factor 2 Yield Value Without Interaction: Factor 1_ factor 2 Yield Value

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