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which test has more inherent errors in their measurements, Z tests or T tests?

which test has more inherent errors in their measurements, Z tests or T tests?
Math   Statistics-And-Probability   
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Answer #1

Z-test is used for large samples, that is for samples having sample size (n) >30.

T-test is used for small and limited samples, that is for samples having n<30.

The inherent error involved in the mesurement of the above test is the sampling error.

A sampling error is a statistical error that occurs when an analyst does not select a sample that represents the entire population of data. Even randomized samples have some sampling error since it is only an approximation of the population from which it is drawn. As the sample size is increased, the sampling error is reduced.

As t-test is done on small samples having sample size less than 30 it incorporates more sampling error as compared to z-test which involves a much larger sample size of more than 30.

Therefore t-test has more inherent errors in their measurement as compared to z-test.

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