In the sampling distribution of the sample means,the standard error of the mean will vary according to the size of the sample. As the sample size,n,gets larger,the variability of the sampling distribution of the means gets larger.

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The statement is false. As the sample size increases, the standard error of the mean actually decreases, resulting in less variability in the sampling distribution of the means. This is known as the central limit theorem.

In the Sampling Distribution of the Sample Means,the Standard Error