Question

For testing the significance of the difference between the means of two independent samples, the degree of freedom (\( v \)) is taken as:

• A. \( n_1 - n_2 + 2 \)
• B. \( n_1 - n_2 - 2 \)
• C. \( n_1 + n_2 - 2 \)
• D. \( n_1 + n_2 + 2 \)

Hint:

Degrees of freedom for two-sample \( t \)-tests are calculated as \( v = n_1 + n_2 - 2 \), where \( n_1 \) and \( n_2 \) are sample sizes.

Answer 1

The Correct Option is C

For two independent samples, the degrees of freedom (\( v \)) in a \( t \)-test are given by: \[ v = n_1 + n_2 - 2. \]