Sampling Distributions and Their Applications

The present book deals with the study of sampling distributions so as to provide their applications in a variety of disciplines. The main objective of the manuscript is to understand the concept of a sampling distribution of a statistic, which is the distribution of all values of that statistic when all possible samples of the same size are taken from the same population. We also observe that some statistics are better than others for estimating population parameters. We also emphasis that Sample proportions tend to target the value of the population proportion, that is, all possible sample proportions have a mean equal to the population proportion. Under certain conditions, the distribution of the sample proportion can be approximated by a normal distribution.