The sample must have a high probability of representing the population.
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The variance decreases with a larger sample so that the sample mean is likely to be closer to the population mean.
Inferential statistics is concerned with making predictions or inferences about a population from observations and analyses of a sample. That is, we can take the results of an analysis using a sample and can generalize it to the larger population that the sample represents. In order to do this, however, it is imperative that the sample is representative of the group to which it is being generalized.
statistical inference
There are 24 df.
If the sample consisted of n observations, then the degrees of freedom is (n-1).