The statistic is chi-squared distributed with n-1 degrees of freedom only if:
A) the population is normally distributed with variance equal to
B) the sample is normally distributed with variance equal to
C) the sample has a Student t distribution with degrees of freedom equal to n-1
D) all of these
E) none of these

Question

The statistic  is chi-squared distributed with n-1 degrees of freedom only if:
A) the population is normally distributed with variance equal to 
B) the sample is normally distributed with variance equal to 
C) the sample has a Student t distribution with degrees of freedom equal to n-1 
D) all of these 
E) none of these

Quizplus · Accepted Answer

The chi-squared distribution assumes that the population is normally distributed with variance equal to the degrees of freedom. Therefore, choice A is the correct option. Choices B and C are incorrect because they do not mention anything about the population being normally distributed with a specific variance. Choice D is incorrect because it includes choice C, which is not correct. Choice E is also incorrect because the chi-squared distribution has specific assumptions about the population distribution.

The Statistic Is Chi-Squared Distributed with N-1 Degrees of Freedom