Many animals,including humans, te·nd to avoid direct eye contact andeven 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 resear,cher 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 in 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 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 nvo-tailed test with α =.05.b. Compute the estimated Cohen's d to measure the size of the treatmenteffect.c. Construct the 95 confidence interval to estimate the mean amount oftime spent on the plain side for the population of birds.
Inverse Normal Distribution
The method used for finding the corresponding z-critical value in a normal distribution using the known probability is said to be an inverse normal distribution. The inverse normal distribution is a continuous probability distribution with a family of two parameters.
Mean, Median, Mode
It is a descriptive summary of a data set. It can be defined by using some of the measures. The central tendencies do not provide information regarding individual data from the dataset. However, they give a summary of the data set. The central tendency or measure of central tendency is a central or typical value for a probability distribution.
Z-Scores
A z-score is a unit of measurement used in statistics to describe the position of a raw score in terms of its distance from the mean, measured with reference to standard deviation from the mean. Z-scores are useful in statistics because they allow comparison between two scores that belong to different normal distributions.
Many animals,including humans, te·nd 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 resear,cher 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 in 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 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 nvo-tailed test with α =.05.
b. Compute the estimated Cohen's d to measure the size of the treatment
effect.
c. Construct the 95 confidence
time spent on the plain side for the population of birds.
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