20 May An Experiment Investigating Male Mating Success
You have conducted an experiment investigating male mating success in the black grouse, Tetraotetrix. These males court in mating arenas called leks, and males may have territories in either the center of the lek or toward the edge. You counted the number of successful mating attempts for a sample of edge-territory males and a sample of center-territory males, and obtained the following values: for edge-territory males, mean = 2.8, standard deviation = 1.8, and n = 24; for center-territory males, mean = 4.5, standard deviation = 2.9, and n = 18. (A) Use these data to conduct a Student’s t-test. (B) What is the power of your t-test results? (C) Suppose that, at the start of the experiment, you had wanted to be able to detect a difference in means (D) of 1.0, with a power of 80% (that is, with b = 0.20), and with an estimated standard deviation equal to 2.35. Did you have a large enough sample size to be able to detect this difference?
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