Chapter 5: One hundred insects of a particular species were put in a chamber and exposed to an insecticide for 15 seconds. The procedure was applied for each of 5 insecticides. Insecticides A and C contained a higher concentration of hydrogen cyanide. Insecticide D contained a higher concentration of nicotine. And Insecticides B and E contained a higher concentration of methyl bromide. In addition to the concentrations, Insecticides A and E were made in Iowa, while Insecticides B and C were made in Kansas. The number of dead insects in the chamber were recorded below: Insecticide A B C 85 90 93 98 82 92 94 98 83 90 D E 92 94 91 96 100 82852 222222 -222222 88 91 95 97 93 89 93 96 96 92 81 94 99 1. Check and Report the Conditions for ANOVA. 95 2. Construct the fixed-effects ANOVA model. Define all terms. 3. Use the appropriate statistical procedure to determine whether the effectiveness of the insecticide changes with respect to insecticide level. Use a = 0.05 and include the ANOVA table. 4. Construct the 3 logical orthogonal contrasts: Hydrogen Cyanide vs Methyl Bromide, Iowa vs Kansas, and Nicotine vs the other four. Show that these contrasts are mutually orthogonal. 5. Test the significance of each of the above contrasts. α = 0.05. a. Contrast 1 (Hydrogen Cyanide Vs Methyl Bromide) b. Contrast 2 (Iowa vs Kansas) c. Contrast 3 (Insecticide D vs. A, B, C, E) 6. Which insecticide(s) is most effective at eliminating insects? Use a = 0.05. 7. Construct and interpret a 95% confidence interval for the average effectiveness of Insecticide D. 8. Construct and interpret a 90% confidence interval for the difference of average effectiveness between Insecticide A and C. 9. What is the effect size of Insecticide D? 10. What is the difference in effect size between Insecticide B and E?

Step 1: Write the given information

Step 2: Construct and interpret a 95% confidence interval for the average effectiveness of Insecticide D

Step 3: Construct and interpret a 90% confidence interval for the difference of average effectiveness A & C

Step 4: Determine the effect size of Insecticide D

Step 5: Determine the difference in effect size between Insecticide B and E

Solution