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The operations manager for an appliance manufacturer wants to determine the optimal length of time (in minutes) for washing cycle of a household clothes washer. As experiment is designed to measure the effect of detergent brand and washing cycle time on the amount of dirt removed from standard household laundry loads. Four brands of detergent (Fab, Breeze, Chico, and Dino). and four levels of washing cycle (Quick, Mixed, Cotton, and Delicate cycles) are specifically selected for analysis. In order to run the experiment, 32 standard household laundry loads (having equal weight and dirt) are randomly assigned, 2 each, to the 16 detergent-washing cycle time combinations. At the 05 level of significance, conduct the appropriate statistical analysis. The data are stored in Asg2.xls file. Attach the appropriate analysis results to the questions. Required: a. Describe the distribution of scores of dirt removed. (6 marks) b. Write the null and alternate hypotheses for the interaction effect. (2 marks) c. What is the F critical value for the interaction effect? (1 marks) d. Is there an interaction between detergent and washing cycle? (2 marks) e. Write the null and alternate hypotheses for the detergent brand. (2 marks) f. Is there an effect due to detergent brand? (2 marks) 9. Write the null and alternate hypotheses for washing cycle. (2 marks) h. What is the F critical value for washing cycle? (1 marks) i. Is there an effect due to washing cycle? (2 marks) The operations manager for an appliance manufacturer wants to determine the optimal length of time (in minutes) for washing cycle of a household clothes washer. As experiment is designed to measure the effect of detergent brand and washing cycle time on the amount of dirt removed from standard household laundry loads. Four brands of detergent (Fab, Breeze, Chico, and Dino). and four levels of washing cycle (Quick, Mixed, Cotton, and Delicate cycles) are specifically selected for analysis. In order to run the experiment, 32 standard household laundry loads (having equal weight and dirt) are randomly assigned, 2 each, to the 16 detergent-washing cycle time combinations. At the 05 level of significance, conduct the appropriate statistical analysis. The data are stored in Asg2.xls file. Attach the appropriate analysis results to the questions. Required: a. Describe the distribution of scores of dirt removed. (6 marks) b. Write the null and alternate hypotheses for the interaction effect. (2 marks) c. What is the F critical value for the interaction effect? (1 marks) d. Is there an interaction between detergent and washing cycle? (2 marks) e. Write the null and alternate hypotheses for the detergent brand. (2 marks) f. Is there an effect due to detergent brand? (2 marks) 9. Write the null and alternate hypotheses for washing cycle. (2 marks) h. What is the F critical value for washing cycle? (1 marks) i. Is there an effect due to washing cycle? (2 marks)