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 in magnitude (move farther from zero).
B)They would decrease in magnitude (move closer to zero).
C)They would not change.
D)Impossible to determine without more information

Question

Quizplus · Accepted Answer

With an increase in degrees of freedom (from 8 to 20), the critical t-values for a given alpha level (e.g., .05) in a two-tailed test decrease in magnitude, moving closer to zero. This is because the t-distribution approaches the normal distribution as the degrees of freedom increase, resulting in critical values that are closer to those of the standard normal distribution.

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