Question 5 (1 point) Consider the central limit theorem video. When the author o

Question

Question 5 (1 point) Consider the central limit theorem video. When the author of the video discusses the custom simulation and takes a sample of size 2 many times and plots the mean of each sample, which of the following is true? A) The histogram of sample means is approximately normally distributed O B) The mean (or expected value) of the sample means is very close to the true mean in the population. O The SE of the sample means is smaller than the standard deviation in the population D) A and B only. E) B and C only. F) A, B, and C

Explanation / Answer

The mean of sample means gets close to the true mean of the population when the sample size increases and the distribution is approximately normal.

Also, the SE of the sample mean is the ratio of the standard deviation of the population to the square root of sample size and is therefore less than it.

The correct answer is F) A, B and C.

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