The shape of the distribution of means is approximately normal if either (a)each sample consists of 20 or more individuals or (b)the distributions of the populations of individuals is skewed to the left. (True or False)

Question

Quizplus · Accepted Answer

The shape of the distribution of means will be approximately normal due to the Central Limit Theorem, which applies when the sample size is large (usually n ≥ 30) regardless of the population distribution shape, or if the population itself is normally distributed, regardless of sample size. The specific conditions mentioned (a 20 individual sample size or a left-skewed population distribution) do not guarantee a normal distribution of means.

The Shape of the Distribution of Means Is Approximately Normal