Problem 7E

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

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.

Chapter 9: Multivariate Designs - Means many variables - Study more than 2 variables in a single study - Enhance understanding of bivariate associations Longitudinal design - Measures same variables and same sample at several time points - Use to assess variable relationships across time - Use to see variable stability across time - 3 types of correlations assessed o Cross sectional: two variables measured at the same point in time [bivariate correlations] o Autocorrelations; testing variable against itself measured at two time points. o Cross-lag correlations; early measure of one variable against later measure of the other variable Moderation Language - Violence