With α = .05 and df = 8,the critical values for a two-tailed t test are t = ±2.306.Assuming all other factors are held constant,if the df value were increased to df = 20,what would happen to the critical values for t?
A)They would increase (move farther from zero).
B)They would decrease (move closer to zero).
C)They would stay the same.
D)There is not enough information to answer.

Question

With α = .05 and df = 8,the critical values for a two-tailed t test are t = ±2.306.Assuming all other factors are held constant,if the df value were increased to df = 20,what would happen to the critical values for t?​
A)​They would increase (move farther from zero).
B)​They would decrease (move closer to zero).
C)​They would stay the same.
D)​There is not enough information to answer.

Quizplus · Accepted Answer

As the degrees of freedom (df) increase, the critical t-values for a given alpha level (e.g., .05) decrease and move closer to zero. This is because the t-distribution approaches the normal distribution as df increases, resulting in a narrower distribution.

With α = 05 and Df = 8,the Critical Values for a Two-Tailed