Refer to the Journal of Engineering for Industry (Aug. 1993) study of an automated warehouse, Exercise 10.73. Recall that the number of vehicles was varied and the congestion time (total time one vehicle blocked another) was recorded for a simulated automated warehouse. The data are reproduced in the accompanying table. Use Spearman’s method to test for a correlation between congestion time ( y) and number of vehicles (x) at α = .05.

Data from Exercise 10.73

Botanists at the University of Toronto conducted a series of experiments to investigate the feeding habits of baby snow geese. (Journal of Applied Ecology, Vol. 32, 1995.) Goslings were deprived of food until their guts were empty, then were allowed to feed for 6 hours on a diet of plants or Purina Duck Chow. For each feeding trial, the change in the weight of the gosling after 2.5 hours was recorded as a percentage of initial weight. Two other variables recorded were digestion efficiency (measured as a percentage) and amount of acid-detergent fiber in the digestive tract (also measured as a percentage). The data for 42 feeding trials are saved in the SNOWGEESE file.

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WAREHOUSE Number Congestion Time, minutes Number Congestion Time, minutes of Vehicles of Vehicles 9 .02 2 10 .04 3 .02 11 .04 4 .01 12 .04 5 .01 13 .03 6. .01 14 .04 7 .03 15 .05 8 .03 1.