A researcher is investigating the physical characteristics that influence whether a person's face is judged as beautiful. The researcher selects a photograph of a woman and then creates two modifications of the photo by (1) moving the eyes slightly farther apart and (2) moving the eyes slightly closer together. The original photograph and the two modifications are then shown to a sample of n = 150 college students, and each student is asked to select the "most beautiful" of the three faces. The distribution of responses was as follows: Original Photo Eyes Moved Apart Eyes Moved Together 51 72 27 Do the data indicate any significant preferences among the three versions of the photograph? Test at the .05 Ievel of significance.
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.
A researcher is investigating the physical characteristics that influence whether a person's face is judged as beautiful. The researcher selects a photograph of a woman and then creates two modifications of the photo by (1) moving the eyes slightly farther apart and (2) moving the eyes slightly closer together. The original photograph and the two modifications are then shown to a sample of n = 150 college students, and each student is asked to select the "most beautiful" of the three faces.
The distribution of responses was as follows:
Original Photo Eyes Moved Apart Eyes Moved Together
51 72 27
Do the data indicate any significant preferences among the three versions of the photograph? Test at the .05 Ievel of significance.
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