In an experiment to investigate the effect of color of paper (blue, green, orange) on response rates for questionnaires distributed by the \"windshield method\" in supermarket parking lots, 15 representative supermarket parking lots were randome chosen in a metropolitan area and each color was assigned at random to five of the lots. The iers were distributed to the assigned parking lots in two different weeks. The data on response rates is given in the following table: 1. (6 points) What are the experimental units? 2. (6 points) What are the observational units? 3. (12 points} Give the model and assumptions, assuming that color is fixed and week is random. 4. {6 points) Why is there no interaction term in the model? 5. (6 points) What is the covariance between the response rate for Week 1 at Lot 1 with Blue and the response rate for Week 2 at Lot 1 with Blue? 6. (6 points) 'What is the covariance between the response rate for Week 1 at Lot 1 with Blue and the response rate for Week 1 at Lot 2 with Blue? 7. {6 points) What is the covariance between the response rate for Week 1 at Lot 1 with Blue and the response rate for Week 1 at Lot 1 with Green? 8. {20 points) Test for a factor effect at the 5% significance level, giving the hypotheses, test statistic, P-value, and conclusion. 9. (20 points} Test for an experimental error effect at the 5% signicance level, giving the hypotheses, test staiistic, Pvalue, and conclusion. 10. (12 points} Estimate the variances