What happens to the t-distribution as the sample size increases?
A)The t-distribution appears less and less like a normal distribution.
B)The t-distribution appears more and more like a normal distribution.
C)The shape of the t-distribution is unaffected.
D) becomes nearer to the true value of µ.

Question

What happens to the t-distribution as the sample size increases?
A)The t-distribution appears less and less like a normal distribution. 
B)The t-distribution appears more and more like a normal distribution. 
C)The shape of the t-distribution is unaffected. 
D) becomes nearer to the true value of µ.

Quizplus · Accepted Answer

As the sample size increases, the t-distribution approaches the normal distribution, becoming narrower and more concentrated around the mean, which is the same as the true value of µ. This happens because larger sample sizes provide more information about the population, resulting in less uncertainty in the sample mean.

What Happens to the T-Distribution as the Sample Size Increases