Regarding the distribution of differences, the assumption of normality is based on
A) Pascal's triangle
B) Gossett's law
C) the Central Limit theorem
D) the Gaussian law

Question

Quizplus · Accepted Answer

The assumption of normality for the distribution of differences is based on the Central Limit Theorem, which states that the distribution of sample means will be approximately normal if the sample size is sufficiently large, even if the underlying population is not normally distributed. Therefore, when we are testing the difference between means, we can assume that the distribution of the differences is approximately normal, as long as the sample size is sufficiently large.

Regarding the Distribution of Differences, the Assumption of Normality Is