When we make estimates of or draw conclusions about one or more characteristics of a population based upon the sample, we are using the process of statistical inference.

To estimate this sample to sample variance or uncertainty is the goal of statistical inference.

What is the purpose of statistical inferences ?

To be able to make inferences about a population based on data from a sample is the goal of statistical inference.
The process of statistical inference involves selecting a sample, gathering data from that sample, calculating a statistic from the data, and drawing conclusions about the population from that statistic.

How is statistical inference used to draw conclusions?

Estimation and hypothesis testing are components of statistical inference (evaluating a notion about a population using a sample) (estimating the value or potential range of values of some characteristic of the population based on that of a sample).

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