Determine whether the statement is true or false. If it is false, rewrite it as a true statement. As the size of a sample increases, the mean of the distribution of sample means increases.

From central limit theorem, as the size of a sample size increases, the sample mean and sample standard deviation will be far much more closer in value to the population mean(μ) and standard deviation(σ).

Thus, as the size of the sample increases, there will be no changes to the mean of the distribution of the sample mean.

Determine whether the statement is true or false. If it is​ false, rewrite it as a true statement. As the size of a sample​ increases, the mean of the distribution of sample means increases.

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Determine whether the statement is true or false. If it is false, rewrite it as a true statement. As the size of a sample increases, the mean of the distribution of sample means increases.