The t distribution
A)assumes the population is normally distributed.
B)approaches the normal distribution as the sample size increases.
C)has more area in the tails than does the normal distribution.
D)All the above.

Question

Quizplus · Accepted Answer

The t distribution assumes the population from which samples are drawn is normally distributed, especially for small sample sizes. As the sample size increases, the t distribution approaches the normal distribution, making it more applicable for larger samples. Additionally, compared to the normal distribution, the t distribution has more area in the tails, reflecting the increased variability (hence uncertainty) when estimating population parameters from smaller samples.

The T Distribution