Scientists in the Department of Plant Pathology at

Chapter , Problem 8.31

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Scientists in the Department of Plant Pathology at Virginia Tech devised an experiment in which 5 different treatments were applied to 6 different locations in an apple orchard to determine if there were significant differences in growth among the treatments. Treatments 1 through 4 represent different herbicides and treatment 5 represents a control. The growth period was from May to November in 1982, and the amounts of new growth, measured in centimeters, for samples selected from the 6 locations in the orchard were recorded as follows: Locations Treatment 1 2 3 4 5 6 1 455 72 61 215 695 501 2 622 82 444 170 437 134 3 695 56 50 443 701 373 4 607 650 493 257 490 262 5 388 263 185 103 518 622 Perform an analysis of variance, separating out the treatment, location, and error sum of squares. Determine if there are significant differences among the treatment means. Quote a P-value.