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 new growth, measured in centimeters, for samples selected from the 6 locations in the orchard was recorded as follows. 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 aP-value.

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Locations 3 4 215 695 2 Treatment 6 455 622 695 607 650 388 263 501 134 170 437 373 61 82 444 443 701 56 50 493 257 490 185 103 518 262 622 650