Question

What would be the critical value for a two-tailed, one-sample t test with 26 degrees of freedom (df = 26) and an alpha level (p level) equal to 0.05 (5%)? Please provide at least three decimal places when reporting your answer. Please also provide only the absolute value of the answer (i.e., don't include a "+" symbol or "-" symbol).

Answer 1

Answer: The critical value for a two-tailed t-test = 2.056

The critical value for a one-tailed t-test = 1.706

Step-by-step explanation:

Given : Degree of freedom : df= 26

Significance level : $\alpha=0.05$

Using student's t distribution table , the critical value for a two-tailed t-test will be :-

$t_{\alpha/2, df}=t_{0.025,26}=2.056$

The critical value for a two-tailed t-test = 2.056

Again, Using student's t distribution table , the critical value for a one-tailed t-test will be :-

$t_{\alpha, df}=t_{0.05,26}=1.706$

The critical value for a one-tailed t-test = 1.706