Most hypothesis tests are robust to violations of the assumption that the distribution of the population is approximately normal.

Question

Quizplus · Accepted Answer

Most hypothesis tests rely on the Central Limit Theorem, which states that the sample mean will be approximately normally distributed regardless of the original distribution of the population, as long as the sample size is sufficiently large. Therefore, even if the population distribution is not normal, the hypothesis test will still be valid as long as the sample size is large enough.

Most Hypothesis Tests Are Robust to Violations of the Assumption