Question

describe sampling theory and give examples

Answer 1

Solution:

Sampling theory is the field of statistics that is involved with the collection, analysis & interpretation of data collected from random samples of a population under study. It also involves the use of probability theory, along with prior knowledge about the population parameters, to analyze the data from the random sample and develop conclusions from the analysis. This theory is applicable only to random samples.The main problem of sampling theory is the problem of relationship between a parameter and a statistic.

Sampling theory is designed to attain one or more of the following objectives:

1. Statistical estimation
2. Testing of hypothesis
3. Statistical inference

Example: There were 100 flower trees in the population and 19 trees were to be sampled. Thus, the probability of selection of any of the 100 trees was 19/100, that is, 0.19, or a 19% chance.