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QUESTION 2 A study is conducted to check whether the strength (y) of a new synthetic fiber is significantly affected by the concentration (x) of cotton used in the blend of materials for the fiber. The data are shown in the table below. (13 points) No. T Cotton concentration (x) 0.10 0.15 Fiber strength () 9, 12 15, 14 22, 22 0.20 Carry out the Analysis of Variance (ANOVA) to determine whether the cotton concentration affects the fiber strength. SST 1. 14 1.33, ss-, i 36.33 and the type l error probability is specified as 0.05. 2. Check if the mean (1) of the fiber strength for (x 0.10) statistically differs from the mean (us) of the as 0.05 fiber strength for (x 0.20) taking into consideration that SSr 141.33, SSF What is the importance of the randomization in taking the observations in any experiment? At which level you recommend to keep the cotton concentration in order to increase the Fiber strength? 136.33 and a is specified 3. 4.
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