t-test

With these tests we can compare the observed sample mean of a characteristic with a hypothetical mean. We can also test for the significance of the difference between the means of two independent or dependent samples. It is assumed that the individual data values follow normal distribution.

·         With these tests we can compare the observed sample mean of a characteristic with a hypothetical mean. We can also test for the significance of the difference between the means of two independent or dependent samples. It is assumed that the individual data values follow normal distribution.

·         With small samples the normality assumption of the test value does not hold good. In this case we use a special distribution called Student’s tdistribution (proposed by W. S. Gosset whose pen name was Student). These tests are known as t-tests.

·         Interestingly, t-test can be applied for both small and large samples while Z-test cannot be applied on small samples.

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