As the degrees of freedom increase, the t distribution approaches the
A) uniform distribution.
B) normal distribution.
C) exponential distribution.
D) p distribution.

Question

​As the degrees of freedom increase, the t distribution approaches the
A) ​uniform distribution.
B) ​normal distribution.
C) ​exponential distribution.
D) ​p distribution.

Quizplus · Accepted Answer

As the degrees of freedom increase, the t distribution approaches the normal distribution. This is known as the central limit theorem, which states that as the sample size increases, the distribution of sample means approaches a normal distribution. The t distribution approaches the normal distribution as the degrees of freedom increase, because the sample mean becomes more accurate as the sample size gets larger, making it closer to the true population mean.

​As the Degrees of Freedom Increase, the T Distribution Approaches

As the Degrees of Freedom Increase, the T Distribution Approaches