When the sample size is less than 30 , the appropriate statistical test used for testing the hypothesis about the mean is given t-test.
- Z -test is quiet closely related to t-test but the performance of best statistical test when sample size is quiet small and less than 30 is given by t -test.
- For the t -test we assume standard deviation to be unknown while for the z-test standard deviation to be known.
- If the sample size is more than 30, then the distribution normal distribution and the required t-test is not distinguishable.
Therefore, the best and appropriate statistical test used when sample size is smaller than 30 while testing hypothesis about the mean is given t-test.
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