Example 1: The population from which samples are selected is {1,2,3,4,5,6}. This population has a mean of 3.5 and a standard deviation of 1.70783. The next display shows a histogram of the population.

Methods are given for constructing, from past sample data, prediction intervals (i) to contain the ratio of the variances of future samples from two normal distributions and (ii) to contain the ratio ...

Skew‐normal distributions extend the traditional normal model by incorporating a parameter that accounts for asymmetry, thereby providing a more flexible framework for modelling real‐world data.

The following post shows an example of fitting a normal distribution with unknown mean and variance to data. The inverse of the variance $latex \sigma^2$ is the ...