You are supervising an experiment to reduce the processing time of the widget your company makes. With your background research, you have determined that the assembly process has two factors that affect how fast the widgets can be processed: the amount of alloy in the component materials and stamp machine pressure. There are some other factors that you don't care much about but will have some influence on the outcome: the technicians who produce the alloy and brand of stamp machine used. a. What is the response variable? b. What are the treatment factors and what are the nuisance factors? How do you know? c. At the end of the experiment, you will need to make a recommendation to your company. You want to make sure that your experiment truly answers the question. What are some of the aspects of factorial design that you will need to incorporate to make sure that your recommendation is solid? d. You notice that the warehouse where the widgets are made heats up over the course of the day. Since you cannot control this, how could you adjust the set-up of your experiment to account for this? e. There are several factors here. What can you do to reduce the number of experiments you have to do? You are supervising an experiment to reduce the processing time of the widget your company makes. With your background research, you have determined that the assembly process has two factors that affect how fast the widgets can be processed: the amount of alloy in the component materials and stamp machine pressure. There are some other factors that you don't care much about but will have some influence on the outcome: the technicians who produce the alloy and brand of stamp machine used. a. What is the response variable? b. What are the treatment factors and what are the nuisance factors? How do you know? c. At the end of the experiment, you will need to make a recommendation to your company. You want to make sure that your experiment truly answers the question. What are some of the aspects of factorial design that you will need to incorporate to make sure that your recommendation is solid? d. You notice that the warehouse where the widgets are made heats up over the course of the day. Since you cannot control this, how could you adjust the set-up of your experiment to account for this? e. There are several factors here. What can you do to reduce the number of experiments you have to do