As the size of the sample increases,what happens to the shape of the distribution of sample means?
A)It cannot be predicted in advance.
B)It approaches a normal distribution.
C)It is positively skewed.
D)It is negatively skewed.

Question

Quizplus · Accepted Answer

As the sample size increases, the distribution of sample means approaches a normal distribution regardless of the shape of the population distribution, according to the Central Limit Theorem. This is one of the fundamental assumptions of inferential statistics, allowing the use of parametric tests such as t-tests and ANOVA. Therefore, B is the best choice, as A, C or D do not reflect this tendency.

As the Size of the Sample Increases,what Happens to the Shape