Mean darkness of cotton minus

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Fabrics respond differently to the same dye. Clothing manufacturers need to be able to match the colors of different fabrics. A researcher dyed samples of cotton and of ramie with a dye called procion blue, applied in the same way to each sample. Then she measured the lightness of the color with a colorimeter on a scale in which black is 0, white is 100. Here are the data for 8 pieces of each fabric.

Cotton:

48.82

48.88

48.98

49.04

48.68

49.34

48.75

49.12

Ramie:

41.72

41.83

42.05

41.44

41.27

42.27

41.12

41.49

Evidently one procedure gives darker colors than the other. Make a confidence interval estimate for the mean darkness of cotton minus the mean darkness of ramie after this dye procedure. Use 99% as your confidence level.

Lower Confidence Level: 

Upper Confidence Level: 

Reference no: EM131083983

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