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What is the most important difference between the normal and the Student's t distribution?

What is the most important difference between the normal and the Student's t distribution?

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Answer #1

as we know both t distribution and normal distribution are both symmetrical and unimodal. one of the major acceptance is that when number of samples is greater than 30 we use normal distribution and when it is less than 30 we use the t distribution. The difference between them is that the t distribution is less concentrated around its peak.

one more thing that is very important is that t distribution is used when we do not have population standard deviation, instead of that we have sample standard deviation

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