A factory unit producing cars chooses some for inspection and quality check by the quality control department. These cars are chosen randomly for the quality check, form a sample and the totality of the cars manufactured is called the population.
Statistical individuals refer to objects in a population. The population can be finite or infinite depending on the number of things in the population.
Sample: A sample is a finite subset of statistical individuals (objects) in a population.
Sample Size: The number of statistical individuals (objects) in a sample is called the sample size.
Parameters: The parameters of the population are statistical constants or measures of the population, such as mean(μ), variance(σ2), etc.
Statics: Statistics are statistical measurements or constants computed only from sample observations, such as mean, variance(s2) and so on.
If we take 50 random samples from a population and calculate their means, we'll end up with a sequence of 50 means that make up a frequency distribution. The sampling distribution of means is the term given to this distribution.
In general, if S1, S2, S3, ...., Sn are values of a static S(mean, variance, etc.) obtained from n independent random samples of a definite size chosen from a given population, then S1, S2, S3, ...., Sn form a sampling distribution of statistics S. The mean () and variance of statistic S are gi…
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