For a defined population, does a parameter ever change?
Response: For a fixed population, a parameter remains constant.
This is because when determining the parameter, every unit within the population is considered. Thus, a parameter will not differ.
In the case of taking three samples of the same size from a specific population, can we end up with three different values for the same statistic?
Response: Sample data can differ between samples, therefore corresponding sample statistics can also show variation among samples.
As we calculate sample statistics, we focus only on portions of the population. Each sampling from the population carries the potential for differing data. Consequently, statistics derived from samples may vary from one sample to another.