1. A researcher is studying the effect of background music on production of workers performing complex operation in rug manufacture. Four music programs and One no-music were presented to 25 selected individuals. The researcher believes that "days of the week" and "week" could be nuisance factors. (a) propose an appropriate model for this experiment (b) describe step by step how you would set up the experiment to collect your data. (c) state the hypothesis of interest and how you will draw conclusions on your test