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Consider an infinite population that is positively skewed with a mean of 100 and a standard deviation of 20. A random sample of size 64 is taken from this population. The standard deviation of the sample mean equals 2.50.

If the sampled population is exactly a normal distribution, the sampling distribution of the sample mean is also normal regardless of the sample size.

With the increase of the sample size, the standard error of the sample mean will increase.

For any sampled population, the distribution of the sample mean is always normal

A sampling distribution of the sample mean is the probability distribution of means for all possible samples taken from a population.

If all possible samples of size n are drawn from an infinite population with a mean of 15 and a standard deviation of 10, then the standard error of the sample mean equals 1.0 only for samples of size

As the sample size increases, the variability among the sample means decreases.