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:**

- Statistical estimation
- Testing of hypothesis
- 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.

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