This activity aims to to test your knowledge in Design and Analysis of Experiment using the statistical technique one-way Anova. Problem: A chemical engineer wants to compare the hardness of four blends of paint. Six samples of each paint blend were applied to a piece of metal. The pieces of metal were cured. Then each sample was measured for hardness. Test for the equality of means and assess the differences between pairs of means using one-way Anova and Fisher's LSD multiple comparison of means. Interpret the results and draw conclusions. For the data of the problem, please open Paint Hardness (1)-1.MTW 22.9 28.9 1 C4 Operator 17.4 30.6 3 C2 C3 Hardness Temp 14.9 30.3 13.0 30.9 1 13.3 29.8 3 N 19.3 30.0 1 15.0 30.5 2 16.1 29.9 3 17.0 29.4 3 6.5 13.9 30.6 2 3 + C1-T Paint 1 Blend 2 2 Blend 3 3 Blend 4 4 Blend 1 5 Blend 1 6 Blend 3 Blend 1 8 Blend 2 9 Blend 2 10 Blend 2 11 Blend 4 12 Blend 2 30.0 29.6 13 Blend 4 14 Blend 4 15 Blend 3 16 Blend 1 17 Blend 1 18 Blend 3 19 Blend 1 20 Blend 4 21 Blend 4 22 Blend 3 23 Blend 2 24 Blend 3 16.4 1 11.7 30.1 3 7 10.4 29.6 2 16.9 30.7 3 3.2 29.9 2 18.4 29.9 1 1.9 28.9 2 11.9 29.5 N 2 7.3 28.6 1 14.5 29.9 1 17.8 30.8 3 16.8 29.9 3 9.6 30.8 3 Problem: A chemical engineer wants to compare the hardness of four blends of paint. Six samples of each paint blend were applied to a piece of metal. The pieces of metal were cured. Then each sample was measured for hardness. Test for the equality of means and assess the differences between pairs of means using one-way Anova and Fisher's LSD multiple comparison of means. Interpret the results and draw conclusions