Answer: In the book Design of Experiments for the Quality

Chapter 13, Problem 13.35

(choose chapter or problem)

In the book Design of Experiments for the Quality Improvement, published by the Japanese Standards Association (1989), a study on the amount of dye needed to get the best color for a certain type of fabric was reported. The three amounts of dye, 1 3% wof (1 3% of the weight of a fabric), 1% wof, and 3% wof, were each administered at two dierent plants. The color density of the fabric was then observed four times for each level of dye at each plant. Amount of Dye 1/3% 1% 3% Plant 1 5.2 6.0 12.3 10.5 22.4 17.8 5.9 5.9 12.4 10.9 22.5 18.4 Plant 2 6.5 5.5 14.5 11.8 29.0 23.2 6.4 5.9 16.0 13.6 29.7 24.0Perform an analysis of variance to test the hypothesis,at the 0.05 level of signicance, that there is no difference in the color density of the fabric for the three levels of dye. Consider plants to be blocks.