Option d, All of these options are correct in the standard deviation of the population.
The standard error of the sample means is provided by the following formula: where are the population standard deviation and the sample size is s = σ ÷ √n.
a. is never more than the population standard deviation
As, σ is given and this indicates that, sure the standard error of the sample means is never greater than the population standard deviation.
b. diminishes as the sample size grows.
Increases as the sample size grow. This implies a reduction. As a result, this is also accurate.
c. assesses the variability of the mean across samples.
It is correct since this is the definition of the standard error of the sample mean.
The correct response is d.
All of these options are correct.
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