The degrees of freedom for the test statistic for $\mu$ when $\sigma$ 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 F-test are (df1, df2) where df1 is the numerator degrees of freedom and df2 is the denominator degrees of freedom. In this case, since the population standard deviation is unknown, we have to estimate it using the sample standard deviation. Therefore, the denominator degrees of freedom is n-1. The numerator degrees of freedom is equal to the number of groups being compared minus 1, which is 1 in this case. Thus, the degrees of freedom for the test statistic for F1F1F1S1F1F1F10 when F1F1F1S1F1F1F10 is unknown is n-1.

The Degrees of Freedom for the Test Statistic For μ\muμ When σ\sigmaσ

The Degrees of Freedom for the Test Statistic For $\mu$ When $\sigma$