35. The strengths of five types of medium density fibreboard (A, B, C, D, & E) were analyzed. Four boards of each type were destructively tested for strength. The Modulus of Rupture (MOR) for each of the 20 boards is given in the following table (in 00s of Pascals): A B C D E 619 424 392 462 465 674 525 494 559 568 633 549 441 556 613 622 601 457 611 611 [*Example 12.2] a) Perform an Analysis of Variance and draw your conclusions ( = 0.05). b) Test the differences between means using Scheff's Test and draw your conclusions. c) What are the assumptions of ANOVA? Can we assume that each of these assumptions have been met? d) Discuss an alternative method for testing differences in the above data. Why is an ANOVA preferable?