The color of a fabric depends on the dye used and alsoon how the dye is applied. This

Chapter 0, Problem 22.40

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The color of a fabric depends on the dye used and alsoon how the dye is applied. This matters to clothing manufacturers, who want thecolor of the fabric to be just right. The study discussed in the previous exercisewent on to dye fabric made of ramie with the same procion blue dye applied intwo different ways. Here are the lightness scores for 8 pieces of identical fabricdyed in each way: (a) This is a randomized comparative experiment. Outline the design.(b) A clothing manufacturer wants to know which method gives the darker color(lower lightness score). Use sample means to answer this question. Is thedifference between the two sample means statistically significant? Can you tellfrom just the P-value whether the difference is large enough to be important inpractice?

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