The degrees of freedom for the test statistic for μ when σ is unknown is:
A)1
B)n
C)n − 1
D)None of these choices.

Question

Quizplus · Accepted Answer

The degrees of freedom for the test statistic for μ when σ is unknown is equal to n-1. This is because when σ is unknown, the sample standard deviation s is used in place of σ and s itself is estimated from the sample. This estimation process reduces the degrees of freedom by 1, hence the degrees of freedom for the test statistic is n-1.

The Degrees of Freedom for the Test Statistic for μ