A sample of n observations is taken from a normal population. The appropriate chi-square distribution has
A) n degrees of freedom.
B) n - 1 degrees of freedom.
C) n - 2 degrees of freedom.
D) n - 3 degrees of freedom.

Question

Quizplus · Accepted Answer

The appropriate chi-square distribution for a sample of n observations taken from a normal population, when estimating variance, has n - 1 degrees of freedom. This is because one degree of freedom is lost when calculating the sample mean.

A Sample of N Observations Is Taken from a Normal