Fish story: ACcording to a report by the U.S. Fish and Wildlife Service, the mean length of six-year-old rainbow trout in the Aroli River in Alaska is 485 millimeters with a standard deviation of 45 millimeters. Assume these lengths are normally distributed. (a) What proportion of six-year-old rainbow trout are less than 456 millimeters long? (b) What proportion of six-year-old rainbow trout are between 386 and 486 millimeters long? (c) Is it unusual for a six-year-old rainbow trout to be less than 388 millimeters long? Round the answers to at least four decimal places. Part: 0/3 Part 1 of 3
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.
Trending now
This is a popular solution!
Step by step
Solved in 2 steps
