Identify which types of nonparametric test(s) you would apply to the data mentioned in each of the following questions: Is the self-reported height on dating website profiles equal to the median height of the general population? Is the median self-reported salary on paid online dating sites greater than the median self-reported salary on free online dating sites? Is the median age of dating-service users different for personal matchmaking services, paid online dating sites, and free online dating sites? How does education level affect the number of profile likes on paid online dating sites and free online dating sites? Describe why you selected the specific nonparametric test for each question. Fully explain your answers

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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.