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1. A process engineer wishes to investigate the effect of water removal process on the moisture content of textile fabrics. He selects three different water

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1. A process engineer wishes to investigate the effect of water removal process on the moisture content of textile fabrics. He selects three different water removal processes, namely hydro, suction, and mangle, and chooses four different types of fabrics, namely worsted, barathea, twill, and melton. As the fabrics chosen are of different types (nonhomogeneous), the completely randomized design seems to be inappropri- ate. Also, the engineer wants to be sure that any effect causing due to different types of fabrics should not have any influence on the comparison of the three processes (treatments). He therefore wishes to use the technique of blocking and accordingly divides the fabrics into four different blocks, depending on their types. Further, he randomizes the order of runs within each block. Obviously, the blocks put a restriction on randomization. This is how typically the experiment is carried out in accordance with a randomized block design. Experimental results of moisture content Processes Fabric types (Blocks) (Treatments) Worsted Barathea Twill Melton Hydro 46 35 47 42 Suction 54 57 79 86 Mangle 56 56 61 65 Compute the randomized design for the moisture content in which the fabrics will obtained the different process in their level of significance. (40 points)

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