Question 11 Stacey Davis, chairman of a college's business department, has decided to assign professors to courses next semester. As a criterion for judging who should teach each course, Professor Davis reviews the past two year teaching evaluations (which were filled out by students). A course rating was recorded for cach professor as shown in the table that follows. Find the best assignment of professors to courses to maximize the overall teaching rating. Professor Statistics Management Finance Economics PA 90 65 95 40 PB 70 60 80 75 PC 85 40 80 60 PD 55 80 65 55
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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