The central limit theorem is a hypothetical construct that states that when plotted, a normal distribution of means will result from drawing an infinite number of equal samples from the population and calculating their means. How is this theorem useful in research?
A)Researchers can determine if they have calculated an accurate standard deviation of the mean
B)Researchers can determine if obtained mean is due to experimental effects or to chance
C)Researchers can determine if inferences about the population can be made from their samples
D)Researchers can determine if obtained mean is due to sampling error or to poor test construction

Question

Quizplus · Accepted Answer

The central limit theorem is useful because it informs researchers how likely it is that a particular mean will be obtained by chance. Further calculations can be made with this information to determine whether obtained mean is due to experimental/treatment effects or to chance (sampling or random error).

The Central Limit Theorem Is a Hypothetical Construct That States