If all possible random samples of a specific size n are taken from a population

Question

If all possible random samples of a specific size n are taken from a population with mean m and standard deviation s, then the sampling distribution of sample means will have the following properties: The mean of the sample means will be the same as the population mean. The standard deviation of the sample means will be smaller than the standard deviation of the population. It will be equal to the population standard deviation divided by the square root of the sample size. The standard deviation of the sample means is called the standard error of the mean. The distribution of the sample means is approximately normal in shape. True False Save

Explanation / Answer

Result:

True

The central limit theorem states that if you have a population with mean and standard deviation and take sufficiently large random samples from the population with replacement , then the distribution of the sample means will be approximately normally distributed.

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