Match each of the following terms with the correct statement.
-Central Limits Theorem
A)Random selection of participants that guarantees that each member of the population has an equal chance of being selected.
B)Refers to the random differences that exist between the sample and the population.
C)States that the mean of the scores obtained from the probability sample will be equal to the mean of the scores obtained from the population.
D)People in the population who qualify for a study, but may not be accessible.
E)Selecting members of the accessible population in a nonrandom manner.

Question

Quizplus · Accepted Answer

The Central Limit Theorem (CLT) states that the distribution of sample means approximates a normal distribution as the sample size becomes larger, regardless of the population's distribution shape. This theorem is fundamental in statistics for making inferences about population parameters based on sample statistics. Choice C is a simplified or misstated version of the CLT, focusing on the idea of sample means relating to population means, but the precise statement of the CLT involves the distribution of sample means approximating normality as sample size increases, not necessarily that a single sample mean will be equal to the population mean.

Match Each of the Following Terms with the Correct Statement