Which of the Following Statements Is Consistent with the Central

question 28

Multiple Choice

Which of the following statements is consistent with the Central Limit Theorem?

• A) The Central Limit Theorem indicates that the sampling distribution will be approximately Normal when the sample size is sufficiently large.
• B) The Central Limit Theorem applies without regard to the size of the sample.
• C) The Central Limit Theorem applies to both dependent and independent sampled values regardless of sample size.
• D) The Central Limit Theorem makes sense even if samples are not randomly selected.
• E) The Central Limit Theorem applies only to populations with Normal distributions.

---

Definitions:

Probability Distribution

A mathematical function that provides the probabilities of occurrence of different possible outcomes for an experiment.

Cumulative Probability Distribution

A function that shows the probability that a random variable is less than or equal to a certain value.

Random Number Intervals

Ranges within which random numbers can fall, often used in simulations and statistical sampling.

Simulation Run

The process of executing a simulation model one or more times, generating data to analyze system behavior or performance.