When the degrees of freedom of a chi-square statistic are small (for example,2),the shape of the sampling distribution will be _______.
A)extremely positively skewed
B)highly negatively skewed
C)very normal
D)unknown

Question

Quizplus · Accepted Answer

When the degrees of freedom of a chi-square statistic are small, the shape of the sampling distribution will be extremely positively skewed. This means that the majority of the values will be towards the left of the distribution, with a long tail extending towards the right. This is because as the degrees of freedom decrease, the distribution becomes more spread out and the expected values of the chi-square statistic increase, leading to a skewed distribution.

When the Degrees of Freedom of a Chi-Square Statistic Are