The First Table below records employees’ annual salary (in $000) by gender and University background. All employees graduated from University in autumn 2010. The number in brackets represents the number of observations in each cross-category. Tables Attached Question: Do you find statistical differences in the average salary between different gender? Explain your hypothesis analysis!
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 First Table below records employees’ annual salary (in $000) by gender and University background. All employees graduated from University in autumn 2010. The number in brackets represents the number of observations in each cross-category.
Tables Attached
Question:
Do you find statistical differences in the average salary between different gender? Explain your hypothesis analysis!

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