The standard error of sample mean $x$
is large when the observations in the population are spread out (large $\sigma$
),but that the standard error can be reduced by taking a smaller sample.

Name: The standard error of sample mean $x$ is large when the observations in the population are spread out (large $\sigma$ ),but that the standard error can be reduced by taking a smaller sample.
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Question

The standard error of sample mean $x$ 
is large when the observations in the population are spread out (large $\sigma$ 
),but that the standard error can be reduced by taking a smaller sample.

Quizplus · Accepted Answer

The standard error of the sample mean decreases with a larger sample size, not a smaller one.

The Standard Error of Sample Mean xxx Is Large When the Observations in the Population Are Spread

The Standard Error of Sample Mean $x$ Is Large When the Observations in the Population Are Spread