Question: The article An Automatic Visual System for Marble Tile Classification (L. Carrino, W. Polini, and S. Turchetta, Journal of Engineering Manufacture, 2002:10951108) describes a measure

The article “An Automatic Visual System for Marble 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 perfectly 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 Source: SAGE Journals.

Is it appropriate to use the Student’st distribution 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.

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