# Hypothesis Testing, Confidence Interval & Cohen's d

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Many animals, including humans, tend to avoid direct eye contact and even patterns that look like eyes. Some insects, including moths, have evolved eye-spot patterns on their wings to help ward off predators. Scaife (1976) reports a study examining how eye-spot patterns affect the behavior of birds. In the study, the birds were tested in a box with two chambers and were free to move from one chamber to another. In one chamber, two large eye-spots were painted on one wall. The other chamber had plain walls. The researcher recorded the amount of time each bird spent in the plain chamber during a 60-minute session. Suppose the study produced a mean of M = 37 minutes on the plain chamber with SS = 288 for a sample of n = 9 birds. (Note: If the eye spots have no effect, then the birds should spend an average of Ã?µ = 30 minutes in each chamber.)

a. Is this sample sufficient to conclude that the eye-spots have a significant influence on the birds' behavior? Use a two-tailed test with a = .05.

b. Compute the estimated Cohen's d to measure the size of the treatment effect.

c. Construct the 95% confidence interval to estimate the mean amount of time spent on the plain side for the population of birds.

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The solution provides step by step method for the calculation of testing of hypothesis, confidence interval and Cohen's d. Formula for the calculation and Interpretations of the results are also included. Interactive excel sheet is included. The user can edit the inputs and obtain the complete results for a new set of data.

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a. Is this sample sufficient to conclude that the eye-spots have a significant influence on the birds' ...

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