Fabrics respond differently to the same dye. Clothing manufacturers need to be a
ID: 3240972 • Letter: F
Question
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.
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 95% as your confidence level.
Lower Confidence Level:
Upper Confidence Level:
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 41.49Explanation / Answer
The statistical software output for this problem is:
Paired T confidence interval:
D = 1 - 2 : Mean of the difference between Cotton and Ramie
95% confidence interval results:
Hence,
Lower confidence level: 7.0552723
Upper confidence level: 7.5497277
Difference Mean Std. Err. DF L. Limit U. Limit Cotton - Ramie 7.3025 0.10455262 7 7.0552723 7.5497277Related Questions
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