If a sample of size n is taken from a normal population with a finite variance, then the statistic = follows the distribution with degrees of freedom.
A) (n + 1)(n − 1).
B) n + 1.
C) n − 1.
D) n.

Question

If a sample of size n is taken from a normal population with a finite variance, then the statistic  =  follows the  distribution with degrees of freedom.
A) (n + 1)(n − 1). 
B) n + 1. 
C) n − 1. 
D) n.

Quizplus · Accepted Answer

The given statistic is the sample variance. For a normal population with finite variance, the sample variance follows the Chi-square distribution with (n-1) degrees of freedom. Therefore, the answer is (C) n-1.

If a Sample of Size N Is Taken from a Normal