Why can't the t-distribution exceed standard normal distribution?



Hello People,
I’m doing the Inferential statistics course in Udacity. I do not quite understand why the t-distribution graph can never exceed the Standard normal distribution. Though I understand the overall idea of t-distribution the concept hasn’t sinked in completely. Hence I am looking for a sound explanation of the concept and the question put forth.


Hi @B.Rabbit

When we say cannot exceed Normal Distribution, it wanted to say that the distribution cannot be more concentrated than a normal distribution.

There are other distributions that can achieve this



HI @anantguptadbl
Why can’t a t-distribution be more concentrated than a normal distribution? What if I choose samples very close to the mean?


Hi @B.Rabbit,
Let me get back to you with a detailed explanation


Sure @anantguptadbl