Respuesta :
Answer:
A. It is an estimate of the standard deviation of the population distribution.
The statement about the standard error which is wrong from the following options is given by: Option A: It is an estimate of the standard deviation of the population distribution.
What is standard error?
It is an estimate of the standard deviation of the sampling distribution. It measures the variability of a considered sample statistic.
Supopse that we're given that:
- Population standard deviation = [tex]\sigma[/tex]
- Size of sample we're working on = n
Then, the standard error can be estimated as:
[tex]SE = \dfrac{\sigma}{\sqrt{n}}[/tex]
where SE denotes the standard error.
- Option A is clearly wrong as it is estimate of sample standard deviation.
- Option B is correct, and
- Option C too, is correct, as stated above in explanation.
- Option D is correct since we can either estimate it from population and sample size (by its formula) or we can directly calculate the standard deviation of sample.
Thus, the statement about the standard error which is wrong from the following options is given by: Option A: It is an estimate of the standard deviation of the population distribution.
Learn more about standard error here:
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