Question

A study involved measuring the average IQ of Americans. What does the Central Limit Theorem say about the study? As long as the sample size n is large enough: The average IQ of Americans in the sample will be normally distributed. The IQ scores of Americans in the sample will be normally distributed. The IQ scores of all Americans will be normally distributed. The average IQ of all Americans will be normally distributed. The number of Americans in the study will be normally distributed.

Answer 1

Answer:

As long as the sample size n is large enough: The average IQ of Americans in the sample will be normally distributed.

Step-by-step explanation:

The Central Limit Theorem estabilishes that, for a random variable X, with mean $\mu$ and standard deviation $\sigma$, the sample means with size n of at least 30 can be approximated to a normal distribution with mean $\mu$ and standard deviation $s = \frac{\sigma}{\sqrt{n}}$

So the correct answer is:

As long as the sample size n is large enough: The average IQ of Americans in the sample will be normally distributed.