For a paired t-test conducted on n matched pairs of observations, the appropriate degrees of freedom is:

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CSS Statistics QUESTION #1973

Question 1

For a paired t-test conducted on \(n\) matched pairs of observations, the appropriate degrees of freedom is:

\(2n - 1\)
\(n - 2\)
\(2(n - 1)\)
\(n - 1\)✔️

Correct Answer Explanation

In a paired t-test, the \(n\) differences \(d_i = X_{1i} - X_{2i}\) are treated as a single sample. The degrees of freedom is therefore \(n - 1\), just as for a one-sample t-test.

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