Exercise 12-48 (Algo) (LO12-5) Robert Altoff is vice president of engineering for a manufacturer of household washing machines. As part of a new product development project, he wishes to determine the optimal length of time for the washing cycle, Included in the project is a study of the relationship between the detergent used (four brands) and the length of the washing cycle (18, 20, 22, or 24 minutes). In order to run the experiment, 32 standard household laundry loads (having equal amounts of dirt and the same total weights) are randomly assigned to the 16 detergent-washing cycle combinations. The results (In pounds of dirt removed) are shown here: Detergent Cycle Time (min) Brand 15 20 22 24 0.14 0.14 0.19 0.17 0. 12 3.12 0.18 3. 19 e. 14 0.16 9.18 3.21 e. 11 3. 14 9. 19 0.19 C 0. 17 3.16 0.18 0.20 2. 17 9. 20 3.22 D 0.16 0.13 0.19 0.15 2. 14 0.15 9.17 0. 18 pictureClick here for the Excel Data.Elle Required: a. Complete an ANOVA table. Use the 0:05 significance level. (Do not round your Intermediate calculations. Enter your $5, MS, p- value to 3 decimal places, F to 2 decimal places, and F crit to 4 decimal places.) Source of Variation SS MS p-value Cycle Time Brand Interact Within b. Choose the right option. the null of no interaction between cycle time and detergent brand. the null of no difference in moans for the different cycle limes the null of no difference in mears for the different detergent brands