The article An Automatic Visual System for Marble Tile Classification (L. Carrino, W

Chapter 5, Problem 7

(choose chapter or problem)

The article “An Automatic Visual System for Mar- ble Tile Classification” (L. Carrino, W. Polini, and  S. Turchetta, Journal of Engineering Manufacture, 2002:1095–1108) describes a measure for the shade of marble tile in which the amount of light reflected  by the tile is measured on a scale of 0–255. A per- fectly black tile would reflect no light and measure  0, and a perfectly white tile would measure 255. A sample of nine Mezza Perla tiles were measured, with the following results:

204.999         206.149         202.102         207.048         203.496

206.343         203.496         206.676         205.831

Is it appropriate to use the Student’s t statistic to construct a 95% confidence interval for the mean  shade of Mezza Perla tile? If so, construct the confidence interval. If not, explain why not.