Refer to the Behavioral Ecology (Jan. 2005) experiment on crab spiders' use of camouflage to hide from predators (e.g., birds) on flowers, presented in Exercise. Researchers at the French Museum of Natural History collected a sample of 10 adult female crab spiders, each sitting on the yellow central part of a daisy, and measured the chromatic contrast between each spider and the flower. The data (for which higher values indicate a greater contrast and, presumably, an easier detection by predators) are shown in the accompanying table and saved in the SPIDER file. The researchers discovered that a contrast of 70 or greater allows birds to see the spider. Of interest is whether or not the true mean chromatic contrast of crab spiders on daisies is less than 70.

Based on Thery, M., et al. "Specific color sensitivities of prey and predator explain camouflage in different visual systems." Behavioral Ecology, Vol. 16, No. 1, Jan. 2005 (Table 1).
a. Define the parameter of interest,µ
b. Set up the null and alternative hypotheses of interest.
c. Find x and s for the sample data, and then use these values to compute the test statistic.
d. Give the rejection region for α = .10.
e. State the appropriate conclusion in the words of the problem.

Transcribed Image Text:

57 75 116 37 96 6 56 2 43 32