Editing Voice Editor Reuse Files Solve in R-Show R-code A clay tile company is interested in studying the effect of cooling temperature on strength. The company has five ovens which produce the tiles, four tiles were baked in each oven and then randomly assigned to one of the four cooling temperatures. The data are given in the following table. Cooling Temp Oven Mean un W 5 10 w 5.40 10 8 12 4 5.80 15 13 15 DOWN 10 10 20 12 9 13 9.80 Mean 5.50 10.75 10.75 4.25 7.50 7.75 1. Which type of design was employed? Describe how the fundamental principles of experimental design were followed in this design. Check the assumptions of your model. 2. Is there a difference among the four temperatures? 3. If there is a difference among the four temperatures, perform pairwise comparisons using Tukey's procedure. 4. Suppose the company believes there is a jump in the strength at 12.5 but otherwise cooling temperature has no effect, that is, 5 and 10 H are not different, neither are 15 and 20 , but these two groups of temperatures have different effects. Find a set of orthogonal contrasts that would allow you to test these, and perform the test(s). Cooling Temp 5, 10, 15, 20, 5, 10, 15, 20, 5, 10, 15, 20, 5, 10, 15, 20, 5, 10, 15, 20 Oven 1, 1, 1, 1, 2, 2, 2, 2, 3, 3, 3, 3, 4, 4, 4, 4, 5, 5, 5, 5 Strength 3, 3, 9, 7, 10, 8, 13, 12, 7, 12, 15, 9, 4, 2, 3, 8, 3, 4, 10, 13