A fisheries biologist stocks three different species of sunfish into a pond at an equal rate (500 individuals of each species). She is interested in determining whether catch rates of those fish by anglers differ between the three species. Any person who fishes the pond during the month of June keeps a record of how many fish they caught by each species. Each fish caught is removed from the population (i.e., harvested). Across the entire month, 100 bluegill, 75 green sunfish, and 75 redear sunfish were caught.
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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A fisheries biologist stocks three different species of sunfish into a pond at an equal rate (500 individuals of each species). She is interested in determining whether catch rates of those fish by anglers differ between the three species. Any person who fishes the pond during the month of June keeps a record of how many fish they caught by each species. Each fish caught is removed from the population (i.e., harvested). Across the entire month, 100 bluegill, 75 green sunfish, and 75 redear sunfish were caught.
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