Which of the following conditions is needed regarding the chi-squared test statistic for the test of variance?
A) The population random variable must be normal.
B) The test statistic must be a non-negative number.
C) The test statistic must have a chi-squared distribution with n - 1 degrees of freedom.
D) All of these choices are true.

Question

Quizplus · Accepted Answer

All of these conditions are needed:
A) The population random variable must be normal for the chi-squared test to test for variance.
B) The test statistic must be a non-negative number since variance cannot be negative.
C) The test statistic must have a chi-squared distribution with n-1 degrees of freedom. This is because variance is estimated from the sample, so one degree of freedom is lost in the estimation process.

Which of the Following Conditions Is Needed Regarding the Chi-Squared