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(Solved): Lewis, Montgomery, and Myers (Journal of Quality Technology, July 2001, Vol.33, pp.265-298) gave so ...



Lewis, Montgomery, and Myers (Journal of Quality Technology, July 2001, Vol.33, pp.265-298) gave some data on advance rate from a drill experiment, with the data having been previously analyzed by other authors using different ap-proaches. The data are as follows: 1.68, 1.98, 3.28,3.44,4.98, 5.70, 9.97, 9.07, 2.07, 2.44, 4.09,4.53, 7.77, 9.43, 11.75, and 16.30. These data were collected under different experimental conditions (i.e, they are not all from the same population). a) Construct a dotplot for the data. Without knowing anything about the experimental conditions under which the data were obtained, can any preliminary conclusions be drawn? (More sophisticated methods of analyzing such data are given in Chapter 12) b) Construct a boxplot. Does the plot indicate the presence of an outlier? How well-determined are the top and bottom of the box relative to what the top and bottom would be for a population of data values? (that is, how well-determined are the 25th and 75th percentiles from 16 data values?



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