The Graduate Record Exam is a standardized test taken by many graduating college seniors. GRE scores are often included in applications to masters or doctoral programs. Suppose that a psychology major received a score of X = 160 on the verbal section of the GRE and a score of X = 159 on the section of the GRE. The mean verbal GRE score for the year 2014-2017 among psychology majors was M = 152, s = 7. The mean quantitative score for the same years was M = 149, s = 7. Use z-scores to describe the student's performance relative to other psychology majors. On which section, verbal or quantitative, was the student's performance better?
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.
The Graduate Record Exam is a standardized test taken by many graduating college seniors. GRE scores are often included in applications to masters or doctoral programs. Suppose that a psychology major received a score of X = 160 on the verbal section of the GRE and a score of X = 159 on the section of the GRE. The mean verbal GRE score for the year 2014-2017 among psychology majors was M = 152, s = 7. The mean quantitative score for the same years was M = 149, s = 7. Use z-scores to describe the student's performance relative to other psychology majors. On which section, verbal or quantitative, was the student's performance better?
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