The t-distribution is a ______________ distribution whose shape changes according to the ________________.
A) theoretical; size of the sample
B) empirical; size of the sample
C) theoretical; standard deviation
D) empirical; standard deviation

Question

Quizplus · Accepted Answer

The t-distribution is a theoretical distribution that is used when the population standard deviation is unknown and the sample size is small (n<30). The shape of the t-distribution changes according to the size of the sample, specifically the degrees of freedom (df), which is calculated as n-1. As the sample size increases, the t-distribution approaches a normal distribution.

The T-Distribution Is a ______________ Distribution Whose Shape Changes According