An incoming MBA student took placement exams in economics and mathematics. In economics, she scored 84 and in math 88. The overall results on the economics exam had a mean of 72 and a standard deviation of 10, while the mean math score was 65, with a standard deviation of 11. On which exam did she do better compared with the other students? Since she scored ? standard deviations above the mean in economics and ? standard deviations above the mean in mathematics, she did better on the mathematics exam. (Round to two decimal places as needed.)
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.
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