If \(n\) is the sample size of the population, then degree of freedom in t-distribution is
Answer & explanation
Correct answer: option 4
The correct answer is Option (4) → \(n-1\)
The t-statistic for a sample of size n uses the sample standard deviation, which is built from the n deviations \(x_i - \bar{x}\). These deviations always satisfy \(\sum (x_i - \bar{x}) = 0\), so only \(n - 1\) of them are free to vary.
Hence the t-distribution has \(n - 1\) degrees of freedom.
CBSE Applied Mathematics (Class XII):
One Sample t-Test
