The t distribution, compared to the Z distribution, is________.
A) more skewed.
B) more peaked for small samples but increasingly like the Z distribution as N increases.
C) bimodal.
D) flatter for small sample sizes but increasingly like the Z distribution as N increases.

Question

Quizplus · Accepted Answer

The t distribution is flatter for small sample sizes but increasingly like the Z distribution as N increases. This is because the t distribution takes into account the additional variability introduced by using a sample standard deviation instead of the population standard deviation. As the sample size increases, this additional variability becomes less of an issue, and the t distribution becomes more like the Z distribution.

The T Distribution, Compared to the Z Distribution, Is________