When sample size is small less thann 30 the
central limit theorem does not assure to assume the distribution of sample
statistics as normal. When the sample size is small the special probability
distributions are used to determine critical value for the test statistic. Here we
must have to assume that the small sample is drawn from normal population
and based on it some important distributions and their applications in testing of
hypothesis are discussed.
Important properties of t – distribution:
Few important properties are as under
i. It is a continuous distribution with range -∞ to ∞.
ii. Probability curve of t – distribution is symmetric about its
mean.
iii. Its mean is always zero.
iv. For large value of sample size it follows normal distribution.
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Small sample Test | DMPHT | SNS INSTITUTIONS | NatokHD