In reference to Inferential Statistics, for 20 degrees of freedom, the least statistical t-value among the given below is:
Answer & explanation
Correct answer: option 4
The correct answer is Option (4) → t (0.05)
\(t(\alpha)\) is the value with an area \(\alpha\) to its right under the t-curve. For fixed degrees of freedom, a larger tail area means the cut-off lies closer to the centre, so the t-value is smaller.
From the t-table, for 20 degrees of freedom:
\(t(0.005) = 2.845\)
\(t(0.01) = 2.528\)
\(t(0.025) = 2.086\)
\(t(0.05) = 1.725\)
The largest tail area, 0.05, gives the least t-value, 1.725.