Stichprobenbereich

Stichprobenbereich refers to the range of values that a sample statistic can take. In statistical inference, we often use a sample statistic to estimate an unknown population parameter. The sample statistic is calculated from a subset of the population, known as a sample. Because the sample is only a part of the whole population, the value of the sample statistic can vary from sample to sample. This variation is called sampling variability. The set of all possible values that a sample statistic can take is called its sampling distribution, and the range of these values is the Stichprobenbereich.

For example, if we are interested in the average height of adult males in a country and we take a sample of 100 men, we can calculate the mean height of this sample. If we were to take a different sample of 100 men, we would likely get a slightly different mean height. The Stichprobenbereich for the sample mean would be all the possible mean heights we could obtain from different samples of 100 men from that population. Understanding the Stichprobenbereich is crucial for determining the reliability of our sample estimates and for constructing confidence intervals or conducting hypothesis tests. It helps us understand how likely it is to observe a particular sample statistic if the true population parameter has a certain value. The shape and spread of the Stichprobenbereich are influenced by factors such as the sample size and the variability within the population.