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: 204.999206.149202.102207.048203.496 206.343203.496206.676205.831 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.
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:
204.999206.149202.102207.048203.496 206.343203.496206.676205.831
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.
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