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

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