10. An article in Nature describes an experiment to investigate the effect on consuming chocolate on cardiovascular health ("Plasma Antioxidants from Chocolate," Vol. 424, 2003, pp. 1013). The experiment consisted of using three different types of chocolate: 100 g of dark chocolate (DC), 100 g of dark chocolate with 200 ml of full-fat milk (DC + MK), and 200 g of milk chocolate (MC). Twelve subjects were used, seven women and five men, with an average age range of 32.2 1 1 years, and average weight of 65.8 + 3.1 kg, and body- mass index of 21.9 + 0.4 kg m-2. On different days, a subject consumed one of the chocolate-factor levels, and one hour later the total antioxidant capacity of their blood plasma was measured in an assay. Data similar to those summarized in the article are shown below. Subjects (Observations 1 2 3 4 5 6 DC 118.8 122.6 115.6 113.6 119.5 115.9 DC + MK 105.4 101.1 102.7 97.1 101.9 98.9 MC 102.1 105.8 99.6 102.7 98.8 100.9 Subjects (Observations) 7 8 10 11 12 DC 115.8 115.1 116.9 115.4 115.6 107.9 DC + MK 100.0 99.8 102.6 100.9 104.5 93.5 MC 102.8 98.7 94.7 97.8 99.7 98.6 Analyze the experimental data using ANOVA. If a = 0.01, what conclusions would you draw? Find the P-value of the test. Estimate the variability due to random error