Which of the following statements about the relationship between the standard normal distribution and the Students t distribution are true? (Multiple answers allowed)
(HINT: Look at your answers to Q5-11 to help you answer this question. You can also use the graph you created in the "Distributions" worksheet and see what happens when you change the degrees of freedom in the "=T.DIST()" function.)

Question

Which of the following statements about the relationship between the standard normal distribution and the Students t distribution are true? (Multiple answers allowed) 
 (HINT: Look at your answers to Q5-11 to help you answer this question. You can also use the graph you created in the "Distributions" worksheet and see what happens when you change the degrees of freedom in the "=T.DIST()" function.)

Answer

As the sample size (n) gets bigger, the values of X (t distribution) get closer to the values of Z (normal distribution).

Answer

The larger the sample size, the closer the t distribution is to the standard normal distribution, so in practice if we have a big enough sample, we can just use the standard normal distribution instead of the t distribution.

Crowdly

Which of the following statements about the relationship between the standard no...

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