A testing lab wishes to test two experimental brands of outdoor paint to see how long each will last before fading. The testing lab obtains samples consisting of 6 gallons of each brand of paint to test. The results (in months) are shown. Find the mean,

The correct answer is 3. Brand A (35, 405, 18.2); Brand B (35, 50, 7.07). To find the mean, variance, and standard deviation for each group, we first need to calculate the sample statistics. For Brand A: - Mean = (10 + 60 + 50 + 30 + 40 + 20)/6 = 35 - Variance = [(10-35)^2 + (60-35)^2 + (50-35)^2 + (30-35)^2 + (40-35)^2 + (20-35)^2]/(6-1) = 405/5 = 81 - Standard deviation = sqrt(81) = 9 For Brand B: - Mean = (35 + 45 + 30 + 35 + 40 + 25)/6 = 35 - Variance = [(35-35)^2 + (45-35)^2 + (30-35)^2 + (35-35)^2 + (40-35)^2 + (25-35)^2]/(6-1) = 250/5 = 50 - Standard deviation = sqrt(50) = 7.07 Therefore, the correct answer is option 3.